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Positive homoclinic solutions for the discrete $p$-Laplacian with a coercive weight function
Differential and Integral Equations, 2014We study a p-Laplacian difference equation on the set of integers, involving a coercive weight function and a reaction term satisfying the Ambrosetti-Rabinowitz condition.
A. Iannizzotto, Vicentiu D. Rădulescu
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A two-step Laplace decomposition method for solving nonlinear partial differential equations
, 2011The Adomian decomposition method (ADM) is an analytical method to solve linear and nonlinear equations and gives the solution a series form. Two-step Adomian decomposition method (TSADM) is a modification on ADM and makes the calculations much simpler ...
H. Jafari +3 more
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The Oscillations of Solutions of Initial Value Problems for Parabolic Equations by HPM
, 2013In this paper, we have used the homotopy perturbation method in order to find the analytical solutions of some linear and nonlinear parabolic differential equations. The method does not need linearization or weak nonlinearity assumptions. In this scheme,
H. Bulut, H. Baskonus
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