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Sun, Hong-Rui; Li, Ya-Ning; Nieto, Juan J.; Tang, Qing

Existence of solutions for Sturm-Liouville boundary value problem of impulsive differential equations. (English) Zbl 1245.34030

Abstr. Appl. Anal. 2012, Article ID 707163, 19 p. (2012).
Summary: This paper is concerned with the existence of solutions for Sturm-Liouville boundary value problem of a class of second-order impulsive differential equations, under different assumptions on the nonlinearity and impulsive functions. Existence criteria of single and multiple solutions are established. The main tools are variational method and critical point theorems. Some examples are also given to illustrate the main results.

Cited in 12 Documents

MSC:

34B24 Sturm-Liouville theory
34A37 Ordinary differential equations with impulses
58E05 Abstract critical point theory (Morse theory, Lyusternik-Shnirel’man theory, etc.) in infinite-dimensional spaces
58E50 Applications of variational problems in infinite-dimensional spaces to the sciences
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References:

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