Exact solutions for a Wick-type stochastic reaction Duffing equation

Soliton Solutions for the Wick-Type Stochastic KP Equation

and Applied Analysis 3 S n1 . S n −1 consisting of all formal expansion X ∑ α bαHα with bα ∈ R such that ‖X‖−1,−q ∑ α b 2 α 2N −qα < ∞ for some q ∈ N, by the action 〈X, x〉 α bα, cα α! and bα, cα is the usual inner product in R. X♦Y α,β aα, bβ Hα β is called the Wick product of X and Y , for X ∑ α aαHα, Y ∑ α bαHα ∈ S n−1 with aα, bα ∈ R. We can prove that the spaces S R , S R ∗ S n1 , and S n−1...

Exact Multiplicity for Periodic Solutions of Duffing type

In this paper, we study the following Duffing-type equation: x′′ + cx′ + g(t, x) = h(t), where g(t, x) is a 2π-periodic continuous function in t and concave-convex in x, and h(t) is a small continuous 2π-periodic function. The exact multiplicity and stability of periodic solutions are obtained.

New results of periodic solutions for a kind of Duffing type p-Laplacian equation

By using Mawhin–Manásevich continuation theorem, some new sufficient conditions for the existence and uniqueness of periodic solutions of Duffing type p-Laplacian differential equation are established, which are complement of previously known results. © 2007 Elsevier Inc. All rights reserved.

On the Dirichlet problem for a Duffing type equation

Recently the classical variational problem for a Duffing type equation received again some attention. In [1], [2], [7], some variational approaches were used in order to receive the existence of solutions for both periodic and Dirichlet type boundary value problems. Mainly direct method is applied under various conditions pertaining to at most quadratic growth imposed on the nonlinear term give...

Existence of Periodic Solutions for the Duffing Equation with Impulses