Existence and multiplicity of solutions to boundary value problems for fourth-order impulsive differential equations

被引：0

作者：

Alberto Cabada

Stepan Tersian

机构：

[1] Universitade de Santiago de Compostela,Departamento de Análise Matemática, Facultade de Matemáticas

[2] University of Ruse,Department of Mathematics

来源：

Boundary Value Problems | / 2014卷

关键词：

fourth-order differential equations; impulsive conditions; weak solution; classical solution; Palais-Smale condition; mountain-pass theorem; Clarke’s theorem;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

In this paper we study the existence and the multiplicity of solutions for an impulsive boundary value problem for fourth-order differential equations. The notions of classical and weak solutions are introduced. Then the existence of at least one and infinitely many nonzero solutions is proved, using the minimization, the mountain-pass, and Clarke’s theorems.

引用

共 50 条

[1] Existence and multiplicity of solutions to boundary value problems for fourth-order impulsive differential equations
Cabada, Alberto
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[J]. BOUNDARY VALUE PROBLEMS, 2014,
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[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2007, 327 (01) : 362 - 375
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[10] Existence of solutions for fourth-order nonlinear boundary value problems
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