Finite-difference solutions of tenth-order boundary-value problems [PDF]
, 1994 This thesis was submitted for the degree of Doctor of Philosophy and awarded by Brunel University.In this thesis finite difference methods are used to obtain numerical solutions for a class of high-order ordinary differential equations with applications ...
Siddiqui, Aijaz Ahmad
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Homoclinic Solutions for a Class of Nonlinear Difference Equations [PDF]
Journal of Applied Mathematics, 2014 We prove the existence of homoclinic solutions of a class of nonlinear difference equations with superlinear nonlinearity by using the generalized Nehari manifold approach.
Ali Mai, Zhan Zhou
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On a Higher‐Order Nonlinear Difference Equation [PDF]
Abstract and Applied Analysis, 2010 This paper shows that all positive solutions of a higher‐order nonlinear difference equation are bounded, extending some recent results in the literature.
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Symbolic Computation of Polynomial Conserved Densities, Generalized Symmetries, and Recursion Operators for Nonlinear Differential-Difference Equations [PDF]
, 2004 Algorithms for the symbolic computation of polynomial conserved densities, fluxes, generalized symmetries, and recursion operators for systems of nonlinear differential-difference equations are presented. In the algorithms we use discrete versions of the
Jan A. S +15 more
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Spatio-temporal numerical modelling of whooping cough dynamics [PDF]
, 2001 This thesis was submitted for the degree of Doctor of Philosophy and awarded by Brunel University.The SIR (Susceptible/Infectious/Recovered) whooping cough model involving nonlinear ordinary differential equations is studied and extended to incorporate (
Piyawong, Wirawan
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On the solvability of initial-value problems for nonlinear implicit difference equations [PDF]
, 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 differential-algebraic equations.
Pham Ky Anh +3 more
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On a Difference Equation with Exponentially Decreasing Nonlinearity [PDF]
Discrete Dynamics in Nature and Society, 2011 We establish a necessary and sufficient condition for global stability of the nonlinear discrete red blood cells survival model and demonstrate that local asymptotic stability implies global stability. Oscillation and solution bounds are investigated.
Elena Braverman, S. H. Saker
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An improvement of two nonstandard finite difference schemes for two population mathematical models [PDF]
, 2021 The aim of this paper is to design appropriate nonstandard finite difference (NSFD) schemes for two population mathematical models based on coupled nonlinear ordinary differential equations.
Calatayud, Julia +3 more
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On the Nonlinear Difference Equation
Journal of Applied Mathematics and Physics, 2016 In this paper, we investigate some qualitative behavior of the solutions of the difference equation where the coefficients a, b and ci are positive real numbers, and where the initial conditions are arbitrary positive real numbers.
Elmetwally M. Elabbasy +1 more
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Oscillations of nonlinear difference equations with deviating arguments [PDF]
, 2008 summary:This paper is concerned with the oscillatory behavior of first-order nonlinear difference equations with variable deviating arguments. The corresponding difference equations of both retarded and advanced type are studied.
Julio G. Dix +6 more
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