Different non-linear

In the course of current research the procedure of obtaining of the piecewise linear vibration systems time and frequency responses have been developed. The method is partly analytical and partly numerical and is based on combining of linear solutions of different sections in a cycle of motion. In a row with the method of obtaining of the exact steady state time and frequency response, also it is provided sensitivity analysis of the vibration isolator.

86p runthenight07 01-03-2023 10 3   Download

The thesis proposes a simple but very effective method to study the unique solvability and an iterative method for solving five boundary value problems for nonlinear fourth order ordinary differential equations with different types of boundary conditions and two boundary value problems for a biharmonic equation and a biharmonic equation of Kirchhoff type by using the reduction of these problems to the operator equations for the function to be sought or an intermediate function.

27p larachdumlanat129 20-01-2021 29 3   Download

MONOTONE FINITE DIFFERENCE DOMAIN DECOMPOSITION ALGORITHMS AND APPLICATIONS TO NONLINEAR SINGULARLY PERTURBED REACTION-DIFFUSION PROBLEMS IGOR BOGLAEV AND MATTHEW HARDY Received 16 September 2004; Revised 21 December 2004; Accepted 11 January 2005 This paper deals with monotone finite difference iterative algorithms for solving nonlinear singularly perturbed reaction-diffusion problems of elliptic and parabolic types. Monotone domain decomposition algorithms based on a Schwarz alternating method and on box-domain decomposition are constructed.

38p sting12 10-03-2012 52 6   Download

PERIODIC SOLUTIONS OF NONLINEAR SECOND-ORDER DIFFERENCE EQUATIONS ´ JESUS RODRIGUEZ AND DEBRA LYNN ETHERIDGE Received 6 August 2004 We establish conditions for the existence of periodic solutions of nonlinear, second-order difference equations of the form y(t + 2) + by(t + 1) + cy(t) = f (y(t)), where c = 0 and f : R → R is continuous. In our main result we assume that f exhibits sublinear growth and that there is a constant β 0 such that u f (u) 0 whenever |u| ≥ β. For such an equation we prove that if N is an odd...

20p sting12 10-03-2012 53 5   Download

GLOBAL ATTRACTOR OF COUPLED DIFFERENCE EQUATIONS AND APPLICATIONS TO LOTKA-VOLTERRA SYSTEMS C. V. PAO Received 22 April 2004 This paper is concerned with a coupled system of nonlinear difference equations which is a discrete approximation of a class of nonlinear differential systems with time delays. The aim of the paper is to show the existence and uniqueness of a positive solution and to investigate the asymptotic behavior of the positive solution. Sufficient conditions are given to ensure that a unique positive equilibrium solution exists and is a global attractor of the difference system.

23p sting12 10-03-2012 49 6   Download

TRICHOTOMY, STABILITY, AND OSCILLATION OF A FUZZY DIFFERENCE EQUATION G. STEFANIDOU AND G. PAPASCHINOPOULOS Received 10 November 2003 We study the trichotomy character, the stability, and the oscillatory behavior of the positive solutions of a fuzzy difference equation. 1. Introduction Difference equations have already been successfully applied in a number of sciences (for a detailed study of the theory of difference equations and their applications, see [1, 2, 7, 8, 11].

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A FUNCTIONAL-ANALYTIC METHOD FOR THE STUDY OF DIFFERENCE EQUATIONS EUGENIA N. PETROPOULOU AND PANAYIOTIS D. SIAFARIKAS Received 29 October 2003 and in revised form 10 February 2004 We will give the generalization of a recently developed functional-analytic method for studying linear and nonlinear, ordinary and partial, difference equations in the 1 and 2 p p spaces, p ∈ N, p ≥ 1.

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ON A CLASS OF FOURTH-ORDER NONLINEAR DIFFERENCE EQUATIONS MAŁGORZATA MIGDA, ANNA MUSIELAK, AND EWA SCHMEIDEL Received 18 August 2003 and in revised form 22 October 2003 We consider a class of fourth-order nonlinear difference equations. The classification of nonoscillatory solutions is given. Next, we divide the set of solutions of these equations into two types: F+ - and F− -solutions. Relations between these types of solutions and their nonoscillatory behavior are obtained.

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GLOBAL ASYMPTOTIC STABILITY OF SOLUTIONS OF CUBIC STOCHASTIC DIFFERENCE EQUATIONS ALEXANDRA RODKINA AND HENRI SCHURZ Received 18 September 2003 and in revised form 22 December 2003 Global almost sure asymptotic stability of solutions of some nonlinear stochastic difference equations with cubic-type main part in their drift and diffusive part driven by square-integrable martingale differences is proven under appropriate conditions in R1 .

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ON THE SOLVABILITY OF INITIAL-VALUE PROBLEMS FOR NONLINEAR IMPLICIT DIFFERENCE EQUATIONS PHAM KY ANH AND HA THI NGOC YEN Received 18 February 2004 Our aim is twofold. First, we propose a natural definition of index for linear nonautonomous implicit difference equations, which is similar to that of linear differentialalgebraic equations. Then we extend this index notion to a class of nonlinear implicit difference equations and prove some existence theorems for their initial-value problems. 1.

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POSITIVE PERIODIC SOLUTIONS FOR NONLINEAR DIFFERENCE EQUATIONS VIA A CONTINUATION THEOREM GEN-QIANG WANG AND SUI SUN CHENG Received 29 August 2003 and in revised form 4 February 2004 Based on a continuation theorem of Mawhin, positive periodic solutions are found for difference equations of the form yn+1 = yn exp( f (n, yn , yn−1 ,..., yn−k )), n ∈ Z. 1. Introduction There are several reasons for studying nonlinear difference equations of the form yn+1 = yn exp f n, yn , yn−1 ,... , yn−k , n ∈ Z = {0, ±1, ±2,... }, (1.1) where f = f (t,u0 ,u1...

10p sting12 10-03-2012 31 3   Download

Tuyển tập báo cáo các nghiên cứu khoa học quốc tế ngành hóa học dành cho các bạn yêu hóa học tham khảo đề tài: OSCILLATION CRITERIA FOR FIRST-ORDER FORCED NONLINEAR DIFFERENCE EQUATIONS

16p dauphong18 09-03-2012 35 3   Download

Tuyển tập báo cáo các nghiên cứu khoa học quốc tế ngành hóa học dành cho các bạn yêu hóa học tham khảo đề tài: PERIODIC SOLUTIONS OF NONLINEAR VECTOR DIFFERENCE EQUATIONS

8p dauphong18 09-03-2012 34 5   Download

Tuyển tập báo cáo các nghiên cứu khoa học quốc tế ngành hóa học dành cho các bạn yêu hóa học tham khảo đề tài: DIFFERENCE SCHEMES FOR NONLINEAR BVPs USING RUNGE-KUTTA IVP-SOLVERS

29p dauphong18 09-03-2012 28 5   Download

Tuyển tập báo cáo các nghiên cứu khoa học quốc tế ngành hóa học dành cho các bạn yêu hóa học tham khảo đề tài: Research Article Existence of Positive Solutions for Boundary Value Problems of Nonlinear Functional Difference Equation with p-Laplacian Operator

12p sting10 07-03-2012 38 3   Download

Tham khảo luận văn - đề án 'báo cáo hóa học: " research article existence theorems of periodic solutions for second-order nonlinear difference equations"', luận văn - báo cáo phục vụ nhu cầu học tập, nghiên cứu và làm việc hiệu quả

11p sting10 07-03-2012 45 3   Download

Tuyển tập báo cáo các nghiên cứu khoa học quốc tế ngành hóa học dành cho các bạn yêu hóa học tham khảo đề tài: Research Article Unbounded Perturbations of Nonlinear Second-Order Difference Equations at Resonance Ruyun Ma

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Tuyển tập báo cáo các nghiên cứu khoa học quốc tế ngành hóa học dành cho các bạn yêu hóa học tham khảo đề tài: Research Article Mean Square Summability of Solution of Stochastic Difference Second-Kind Volterra Equation with Small Nonlinearity

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Tuyển tập báo cáo các nghiên cứu khoa học quốc tế ngành hóa học dành cho các bạn yêu hóa học tham khảo đề tài: Research Article Existence Theorems of Periodic Solutions for Second-Order Nonlinear Difference Equations

11p sting10 24-02-2012 47 4   Download

Tuyển tập báo cáo các nghiên cứu khoa học quốc tế ngành hóa học dành cho các bạn yêu hóa học tham khảo đề tài: Research Article Dynamical Properties for a Class of Fourth-Order Nonlinear Difference Equations

13p sting10 24-02-2012 41 3   Download