Boundary value problems for higher order linear impulsive differential equations

In this paper higher order linear impulsive differential equations with fixed moments of impulses subject to linear boundary conditions are studied. Green's formula is defined for piecewise differentiable functions. Properties of Green's functions for higher order impulsive boundary value...

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Bibliographic Details
Published inJournal of mathematical analysis and applications Vol. 319; no. 1; pp. 139 - 156
Main Authors Uğur, Ö., Akhmet, M.U.
Format Journal Article
LanguageEnglish
Published San Diego, CA Elsevier Inc 01.07.2006
Elsevier
Subjects
Boundary value problems
Eigenvalue problems
Exact sciences and technology
Green's function
Impulsive differential equations
Mathematical analysis
Mathematics
Ordinary differential equations
Sciences and techniques of general use
Boundary value problems
Green's function
Impulsive differential equations
Eigenvalue problems
Differential equation
Boundary function
Impulsive equation
Green function
Boundary value problem
Linear equation
Mathematical analysis
Eigenvalue problem
Linear differential equations
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Summary:In this paper higher order linear impulsive differential equations with fixed moments of impulses subject to linear boundary conditions are studied. Green's formula is defined for piecewise differentiable functions. Properties of Green's functions for higher order impulsive boundary value problems are introduced. An appropriate example of the Green's function for a boundary value problem is provided. Furthermore, eigenvalue problems and basic properties of eigensolutions are considered.
ISSN:0022-247X
1096-0813
DOI:10.1016/j.jmaa.2005.12.077