Approximate Periodic Solutions for Oscillatory Phenomena Modelled by Nonlinear Differential Equations

Analytical-Approximate Solution for Nonlinear Volterra Integro-Differential Equations

In this work, we conduct a comparative study among the combine Laplace transform and modied Adomian decomposition method (LMADM) and two traditional methods for an analytic and approximate treatment of special type of nonlinear Volterra integro-differential equations of the second kind. The nonlinear part of integro-differential is approximated by Adomian polynomials, and the equation is reduce...

Periodic Solutions of Nonlinear Partial Differential Equations

As the existence theory for solutions of nonlinear partial differential equations becomes better understood, one can begin to ask more detailed questions about the behavior of solutions of such equations. Given the bewildering complexity which can arise from relatively simple systems of ordinary differential equations, it is hopeless to try to describe fully the behavior which might arise from ...

Periodic Solutions of Nonlinear Differential Equations

The periodic boundary value problems of a class of nonlinear differential equations are investigated.

Global Bifurcation of Oscillatory Periodic Solutions of Delay Differential Equations

where λ > 0 is a parameter. We will be interested in large values of this parameter. Note that, for every function y : R → R the “translates” yt : [−M, 0]→ R are defined by yt(θ) . = y(t + θ), where −M ≤ θ ≤ 0. Equation (Eλ) includes equations with constant delays (e.g. f(φ) = g(φ(−M)), φ ∈ C([−M, 0];R), for some g : R → R) or state dependent delays (e.g. f(φ) = g(φ(−r(φ(0)))), for some r : R →...

Positive Solutions for Nonlinear Differential Equations with Periodic Boundary Condition