Semnan University International Journal of Nonlinear Analysis and Applications 2008-6822 6 2 2015 06 08 Random differential inequalities and comparison principles for nonlinear hybrid random differential equations 1 19 228 10.22075/ijnaa.2015.228 EN Bapurao C. Dhage Kasubai, Gurukul Colony, Ahmedpur-413 515, Dist: Latur, Maharashtra, India Ram G. Metkar Kasubai, Gurukul Colony, Ahmedpur-413 515, Dist: Latur, Maharashtra, India Journal Article 2013 08 11  In this paper, some basic results concerning strict, nonstrict inequalities, local existence theorem and differential inequalities  have been proved for an IVP of first order hybrid  random differential equations with the linear perturbation of second type. A comparison theorem is proved and  applied to prove the uniqueness of random solution for the considered perturbed random differential equation. Finally an existence of extremal random solution is obtained in  between the given upper and lower random solutions. https://ijnaa.semnan.ac.ir/article_228_3366bac7dc01487f906c0f41f9506933.pdf
Semnan University International Journal of Nonlinear Analysis and Applications 2008-6822 6 2 2015 08 05 Quadratic \$rho\$-functional inequalities in \$beta\$-homogeneous normed spaces 21 26 229 10.22075/ijnaa.2015.229 EN Choonkil Park Department of Mathematics, Research Institute for Natural Sciences, Hanyang University, Seoul 133-791, Korea Sang Og Kim Department of Mathematics, Hallym University, Chuncheon 200-7021, Korea Jung Rye Lee Department of Mathematics, Daejin University, Kyeonggi 487-711, Korea Dong Yun Shin Department of Mathematics, University of Seoul, Seoul 130-743, Korea. Journal Article 2014 06 12 In cite{p}, Park introduced the quadratic \$rho\$-functional inequalities<br />begin{eqnarray}label{E01}<br />&& |f(x+y)+f(x-y)-2f(x)-2f(y)| \ && qquad le  left|rholeft(2 fleft(frac{x+y}{2}right) + 2 fleft(frac{x-y}{2}right)- f(x) -  f(y)right)right|,  nonumber<br />end{eqnarray}<br />where \$rho\$ is a fixed complex number with \$|rho|<1\$,<br />and<br />begin{eqnarray}label{E02}<br />&& left|2 fleft(frac{x+y}{2}right) + 2 fleft(frac{x-y}{2}right)- f(x) -  f(y)right| \ && qquad le  |rho(f(x+y)+f(x-y)-2f(x)-2f(y))|   , nonumber<br />end{eqnarray}<br />where \$rho\$ is a fixed complex number with \$|rho|<frac{1}{2}\$.<br /><br />In this paper, we prove the Hyers-Ulam stability of the quadratic \$rho\$-functional inequalities (0.1) and (0.2)  in \$beta\$-homogeneous complex Banach spaces and prove the Hyers-Ulam stability of quadratic \$rho\$-functional equations associated with  the quadratic \$rho\$-functional inequalities(0.1) and (0.2) in \$beta\$-homogeneous complex Banach spaces. https://ijnaa.semnan.ac.ir/article_229_9a2f45cf266e37c07a1530b054082e97.pdf
Semnan University International Journal of Nonlinear Analysis and Applications 2008-6822 6 2 2015 08 26 An inequality related to \$eta\$-convex functions (II) 27 33 251 10.22075/ijnaa.2015.251 EN Madjid Eshaghi Department of Mathematics, Semnan University, P.O.Box. 35195-363, Semnan, Iran. S. S. Dragomir Mathematics, College of Engineering & Science Victoria University, PO Box 14428, Melbourne City, MC 8001, Australia. Urladdr: http://rgmia.org/dragomir. Mohsen Rostamian Delavar Department of Mathematics, Semnan University, P.O.Box. 35195-363, Semnan, Iran. Journal Article 2014 01 24 Using the notion of eta-convex functions as generalization of convex functions, we estimate the difference between the middle and right terms in Hermite-Hadamard-Fejer inequality for differentiable mappings. Also as an application we give an error estimate for midpoint formula. https://ijnaa.semnan.ac.ir/article_251_7e96749027a543cb76a0c8816883b38a.pdf
Semnan University International Journal of Nonlinear Analysis and Applications 2008-6822 6 2 2015 08 13 Polarization constant \$mathcal{K}(n,X)=1\$ for entire functions of exponential type 35 45 252 10.22075/ijnaa.2015.252 EN A. Pappas Civil Engineering Department, School of Technological Applications, Piraeus University of Applied Sciences (Technological Education Institute of Piraeus), GR 11244, Egaleo, Athens, Greece P. Papadopoulos adepartment of electronics engineering, school of technological applications, technological educational institution (tei) of piraeus, gr 11244, egaleo, athens, greece. L. Athanasopoulou Department of Electronics Engineering, School of Technological Applications, Piraeus University of Applied Sciences (Technological Education Institute of Piraeus), GR 11244, Egaleo, Athens, Greece Journal Article 2014 11 06 In this paper we will prove that if \$L\$ is a continuous symmetric n-linear form on a Hilbert space and \$widehat{L}\$ is the associated continuous n-homogeneous polynomial, then \$||L||=||widehat{L}||\$. For the proof we are using a classical generalized  inequality due to S. Bernstein for entire functions of exponential type. Furthermore we study the case that if X is a Banach space then we have that<br />\$\$<br />|L|=|widehat{L}|,;forall ;; L in<br />{mathcal{L}}^{s}(^{n}X);.<br />\$\$<br />If the previous relation holds for every \$L in {mathcal{L}}^{s}left(^{n}Xright)\$, then spaces \${mathcal{P}}left(^{n}Xright)\$ and  \$L in {mathcal{L}}^{s}(^{n}X)\$ are isometric. We can also study the same problem using Fr\$acute{e}\$chet derivative. https://ijnaa.semnan.ac.ir/article_252_67988509b46f50477e7aba6e7d056fd0.pdf
Semnan University International Journal of Nonlinear Analysis and Applications 2008-6822 6 2 2015 09 08 An assessment of a semi analytical AG method for solving two-dimension nonlinear viscous flow 47 64 270 10.22075/ijnaa.2015.270 EN S. Tahernejad Ledari Department of Mechanical Engineering, Babol University of Technology,P.O. Box 484, Babol, Iran H. H. Mirgolbabaee Department of Mechanical Engineering, Babol University of Technology,P.O. Box 484, Babol, Iran Davood Domiri Ganji Department of Mechanical Engineering, Babol University of Technology,P.O. Box 484, Babol, Iran Journal Article 2014 12 08 In this investigation, attempts have been made to solve two-dimension nonlinear viscous flow between slowly expanding or contracting walls with weak permeability by utilizing a semi analytical Akbari Ganji's Method (AGM). As regard to previous papers, solving of nonlinear equations is difficult and the results are not accurate. This new approach is emerged after comparing the achieved solutions with numerical method and exact solution. Based on the comparison between AGM and numerical methods, AGM can be successfully applied for a broad range of nonlinear equations. Results illustrate, this method is efficient and has enough accuracy in comparison with other semi analytical and numerical methods. Ruge-Kutta numerical method, Variational Iteration Method (VIM), Homotopy Perturbation Method (HPM) and Adomian Decomposition Method (ADM) have been applied to make this comparison. Moreover results demonstrate that AGM could be applicable through other methods in nonlinear problems with high nonlinearity. Furthermore convergence problems for solving nonlinear equations by using AGM appear small. https://ijnaa.semnan.ac.ir/article_270_2b85ea0302d462027207cbdede350c4a.pdf
Semnan University International Journal of Nonlinear Analysis and Applications 2008-6822 6 2 2015 10 17 New existence results for a coupled system of nonlinear differential equations of arbitrary order 65 75 255 10.22075/ijnaa.2015.255 EN M.A. Abdellaoui umab Zoubir DAHMANI LPAM, Faculty of SEI, UMAB, University of Mostaganem, Algeria N. Bedjaoui Laboratoire LAMFA, Universit\&#039;e de Picardie Jules Vernes, INSSET St Quentin, FRANCE Journal Article 2014 11 14 This paper studies the existence of solutions for a coupled system of nonlinear fractional differential equations. New existence and uniqueness results are established using Banach fixed point theorem. Other existence results are obtained using Schaefer and Krasnoselskii fixed point theorems. Some illustrative examples are also presented. https://ijnaa.semnan.ac.ir/article_255_d1b3016bdc3654dc5a27898685246ce5.pdf
Semnan University International Journal of Nonlinear Analysis and Applications 2008-6822 6 2 2015 11 01 Existence and uniqueness results for a nonlinear differential equations of arbitrary order 77 92 256 10.22075/ijnaa.2015.256 EN Mohamed Houas Faculty of Sciences and Technology, Khemis-Milian University, Ain Defla, Algeria Maamar Benbachir Faculty of Sciences and Technology, Khemis-Milian University, Ain Defla, Algeria Journal Article 2014 11 05 This paper studies a fractional boundary value problem of nonlinear differential equations of arbitrary orders. New existence and uniqueness results are established using Banach contraction principle. Other existence results are obtained using Schaefer and Krasnoselskii fixed point theorems. In order to clarify our results, some illustrative examples are also presented. https://ijnaa.semnan.ac.ir/article_256_b585261373d4776c9b9bccf99bd5c1c5.pdf
Semnan University International Journal of Nonlinear Analysis and Applications 2008-6822 6 2 2015 09 01 Simulation and perturbation analysis of escape oscillator 93 101 257 10.22075/ijnaa.2015.257 EN Patanjali Sharma Department of Education in Science \& Mathematics, Regional Institute of Education (NCERT), Ajmer 305 004 INDIA Journal Article 2014 10 07 The dynamical behaviour of the forced escape oscillator, which depends on the parameter values we considered, have been studied numerically using the techniques of phase portraits and Poincar'{e} sections. Also, we employed perturbation methods such as Lindstedt's method to obtain the frequency-amplitude relation of escape oscillator. https://ijnaa.semnan.ac.ir/article_257_aa4bfdc2922c3d9fa1ae4f2835dcee72.pdf
Semnan University International Journal of Nonlinear Analysis and Applications 2008-6822 6 2 2015 11 01 Continuous time portfolio optimization 103 112 258 10.22075/ijnaa.2015.258 EN Alireza Bahiraei Department of Mathematics, Faculty of Mathematics, Statistics and Computer Science, Semnan University, Semnan, Iran Behzad Abbasi Department of Mathematics, Faculty of Mathematics, Statistics & Computer Science, Semnan University, Semnan, Iran. Farahnaz Omidi Department of Mathematics, Faculty of Mathematics, Statistics & Computer Science, Semnan University, Semnan, Iran. Nor Aishah Hamzah Institute of Mathematical Sciences, Faculty of Science, University of Malaya, 50603 Kuala Lumpur, Malaysia. Abdul Hadi Yaakub Institute of Mathematical Sciences, Faculty of Science, University of Malaya, 50603 Kuala Lumpur, Malaysia. Journal Article 2014 11 13 This paper presents dynamic portfolio model based on the Merton's optimal investment-consumption model, which combines dynamic synthetic put option using risk-free and risky assets. This paper is extended version of methodological paper published by Yuan Yao (2012). Because of the long history of the development of foreign financial market, with a variety of financial derivatives, the study on theory or empirical analysis of portfolio insurance focused on how best can portfolio strategies be used in minimizing risk and market volatility. In this paper, stock and risk-free assets are used to replicate options and to establish a new dynamic model to analyze the implementation of the dynamic  process of investors' actions using dynamic replication strategy. Our results show that investors' optimal strategies of portfolio are not dependent on their wealth, but are dependent on market risk and  this new methodology is broaden in compare to paper of Yuan Yao (2012). https://ijnaa.semnan.ac.ir/article_258_df756db274fd1281ef179f49e16f96e4.pdf
Semnan University International Journal of Nonlinear Analysis and Applications 2008-6822 6 2 2015 10 14 Relative orders and slowly changing functions oriented growth analysis of composite entire functions 113 126 259 10.22075/ijnaa.2015.259 EN Sanjib Kumar Datta Department of Mathematics,University of Kalyani, Kalyani, Dist-Nadia, PIN- 741235, West Bengal, India Tanmay Biswas Rajbari, Rabindrapalli, R. N. Tagore Road, P.O. Krishnagar, P.S.- Kotwali, Dist-Nadia, PIN- 741101, West Bengal, India. Sarmila Bhattacharyya Jhorehat F. C. High School for Girls, P.O.- Jhorehat, P.S.- Sankrail, Dist-Howrah, PIN- 711302, West Bengal, India. Journal Article 2014 09 21 In the paper we establish some new results depending on the comparative growth properties of composition of entire functions using relative \$L^{ast }\$-order (relative \$L^{ast }\$-lower order) as compared to their corresponding left and right factors where \$Lequiv Lleft( rright) \$ is a slowly changing function. https://ijnaa.semnan.ac.ir/article_259_f4c48019854386ee3f1b27569e9f1837.pdf
Semnan University International Journal of Nonlinear Analysis and Applications 2008-6822 6 2 2015 10 21 Orthogonal metric space and convex contractions 127 132 261 10.22075/ijnaa.2015.261 EN Maryam Ramezani Faculty of Mathematics, University of Bojnord, Bojnord, Iran Journal Article 2015 01 24 ‎In this paper, generalized convex contractions on orthogonal metric spaces are stablished in whath  might be called their  definitive versions. Also, we show that there are examples which show that our main theorems are  genuine generalizations of Theorem 3.1 and 3.2 of [M.A. Miandaragh, M. Postolache and S. Rezapour,  {it Approximate fixed points of generalized convex contractions}, Fixed Point Theory and Applications 2013,  2013:255]. https://ijnaa.semnan.ac.ir/article_261_6169f4abc6b5e917baada3b9226fcd27.pdf
Semnan University International Journal of Nonlinear Analysis and Applications 2008-6822 6 2 2015 11 05 Modified homotopy method to solve non-linear integral equations 133 136 262 10.22075/ijnaa.2015.262 EN Mohsen Rabbani Department of Mathematics, Sari Branch, Islamic Azad University, Sari, Iran Journal Article 2015 01 14 In this article we decide to define a modified homotopy perturbation for solving non-linear integral equations. Almost, all of the papers that was presented to solve non-linear problems by the homotopy method, they used from two non-linear and linear operators. But we convert a non-linear problem to two suitable non-linear operators also we use from appropriate bases functions such as Legendre polynomials, expansion functions, trigonometric functions and etc. In the proposed method we obtain all of the solutions of the non-linear integral equations. For showing ability and validity proposed method we compare our results with some works. https://ijnaa.semnan.ac.ir/article_262_9698eaf1127597152b3064bf956e6104.pdf
Semnan University International Journal of Nonlinear Analysis and Applications 2008-6822 6 2 2015 10 29 Subordination and Superordination Properties for Convolution Operator 137 147 264 10.22075/ijnaa.2015.264 EN Samira Rahrovi Department of Mathematics, Faculty of Basic Science, University of Bonab, Bonab, Iran. Journal Article 2014 11 26 In present paper a certain convolution operator of analytic functions is defined. Moreover, subordination and superordination- preserving properties for a class of analytic operators defined on the space of normalized analytic functions in the open unit disk is obtained. We also apply this to obtain sandwich results and generalizations of some known results. https://ijnaa.semnan.ac.ir/article_264_d5d42119a5eecfb10a98a6d9f2ff43c4.pdf
Semnan University International Journal of Nonlinear Analysis and Applications 2008-6822 6 2 2015 11 20 On Hilbert Golab-Schinzel type functional equation 149 159 265 10.22075/ijnaa.2015.265 EN Mohamed Tial Faculty of Sciences, IBN TOFAIL University , KENITRA, MOROCCO. Driss Zeglami Moulay Ismail University, ENSAM, Meknes, MOROCCO Samir Kabbaj Faculty of Sciences, IBN TOFAIL University , KENITRA, MOROCCO. Journal Article 2014 11 27 Let \$X\$ be a vector space over a field \$K\$ of real or complex numbers. We will prove the superstability of the following Go{l}c{a}b-Schinzel type equation<br />\$\$<br />f(x+g(x)y)=f(x)f(y), x,yin X,<br />\$\$<br />where \$f,g:Xrightarrow K\$ are unknown functions (satisfying some assumptions). Then we generalize the superstability result for this equation with values in the field of complex numbers to the case of an arbitrary Hilbert space with the Hadamard product. Our result refers to papers by Chudziak and Tabor [J. Math. Anal. Appl. 302 (2005) 196-200], Jabl o'{n}ska [Bull. Aust. Math. Soc. 87 (2013), 10-17] and Rezaei [Math. Ineq. Appl., 17 (2014), 249-258]. https://ijnaa.semnan.ac.ir/article_265_2fbd3ede87ca876ef5fffff27f63124b.pdf
Semnan University International Journal of Nonlinear Analysis and Applications 2008-6822 6 2 2015 12 06 Probabilistic analysis of the asymmetric digital search trees 161 173 266 10.22075/ijnaa.2015.266 EN Ramin Kazemi Department of Statistics, Imam Khomeini International University, Iran Mohammad Qasem Vahidi-asl Department of Statistics, Shahid Beheshti University, Tehran, Iran Journal Article 2014 06 24 In this paper, by applying three functional operators the previous results on the (Poisson) variance of the external profile in digital search trees will be improved. We study the profile built over \$n\$ binary strings generated by a memoryless source with unequal probabilities of symbols and use a combinatorial approach for studying the Poissonized variance, since the probability distribution of the profile is unknown. https://ijnaa.semnan.ac.ir/article_266_11e8d7699d96813d58500f0aaf6c6fbf.pdf