Resonant problem for some second-order differential equation on the half-line

Date

2007-11-21

Authors

Szymanska, Katarzyna

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Volume Title

Publisher

Texas State University-San Marcos, Department of Mathematics

Abstract

We prove the existence of at least one solution to a nonlinear second-order differential equation on the half-line, with the boundary conditions x′(0) = 0 and with the first derivative vanishing at infinity. Our main tool is the multi-valued version of the Miranda Theorem.

Description

Keywords

Asymptotic boundary value problem, Resonant problem, Nonlinear boundary value problem, Set-valued maps

Citation

Szymańska, K. (2007). Resonant problem for some second-order differential equation on the half-line. <i>Electronic Journal of Differential Equations, 2007</i>(160), pp. 1-9.

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Attribution 4.0 International

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