Existence of multiple solutions for a class of second-order ordinary differential equations

Date

2004-11-25

Authors

Shu, Xiao-Bao
Xu, Yuan-Tong

Journal Title

Journal ISSN

Volume Title

Publisher

Texas State University-San Marcos, Department of Mathematics

Abstract

By means of variational structure and Z2 group index theory, we obtain multiple solutions for the second-order differential equation d/dt (p(t) du/dt) + q(t)u + ƒ(t, u) = 0, 0 < t < 1, subject to one of the following two sets of boundary conditions: u'(0) = u(1) + u'(1) = 0 or u(0) = u(1) = 0.

Description

Keywords

Variational structure, Z2 group index theory, Critical points, Boundary value problems

Citation

Shu, X. B., & Xu, Y. T. (2004). Existence of multiple solutions for a class of second-order ordinary differential equations. <i>Electronic Journal of Differential Equations, 2004</i>(137), pp. 1-14.

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Attribution 4.0 International

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