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29 June 2004 Nonmonotone impulse effects in second-order periodic boundary value problems
Irena Rachůnková, Milan Tvrdý
Abstr. Appl. Anal. 2004(7): 577-590 (29 June 2004). DOI: 10.1155/S1085337504306299

Abstract

We deal with the nonlinear impulsive periodic boundary value problem u=f(t,u,u), u(ti+)=Ji(u(ti)), u(ti+)=Mi(u(ti)), i=1,2,,m, u(0)=u(T), u(0)=u(T). We establish the existence results which rely on the presence of a well-ordered pair (σ1,σ2) of lower/upper functions (σ1σ2on[0,T]) associated with the problem. In contrast to previous papers investigating such problems, the monotonicity of the impulse functions Ji, Mi is not required here.

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Irena Rachůnková. Milan Tvrdý. "Nonmonotone impulse effects in second-order periodic boundary value problems." Abstr. Appl. Anal. 2004 (7) 577 - 590, 29 June 2004. https://doi.org/10.1155/S1085337504306299

Information

Published: 29 June 2004
First available in Project Euclid: 7 July 2004

zbMATH: 1109.34024
MathSciNet: MR2084937
Digital Object Identifier: 10.1155/S1085337504306299

Subjects:
Primary: 34B15 , 34B37
Secondary: 34C25

Rights: Copyright © 2004 Hindawi

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Vol.2004 • No. 7 • 29 June 2004
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