Homoclinic Solutions for the Second Order Hamiltonian Systems

Project: National Science and Technology CouncilNational Science and Technology Council Academic Grants

Project Details

Abstract

In this project, we will study the existence and multiplicity of homoclinic solutions for the following Hamiltonian systems. I: u(t) + W (t, u(t)) = f (t), (HS1) where t e R, u e RN, V e C:(R x RN, R) is T-periodic with respect to t, T>0, f : R ^ RN and V, f satisfy some assumptions. II: U(t) - L(t)u(t) + VW(t, u(t)) = f (t), (HS2) where t e R, u e RN, L e C(R,RNxN), W : R x RN — R, f : R — RN and L, W, f satisfy some assumptions.

Project IDs

Project ID:PA10207-0709
External Project ID:NSC102-2115-M182-001
StatusFinished
Effective start/end date01/08/1331/07/14

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