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On the two-point boundary value problems for linear impulsive systems with singularities
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Malkhaz Ashordia
Published/Copyright:
February 29, 2012
Abstract.
Some two-point boundary value problems are considered for linear impulsive systems with singularities. The singularity is understood in the sense that the matrix- and vector-functions of a continuous (as well as of a discrete) argument which correspond to this system maybe nonsummable. The effective conditions are established for each considerable problem to be uniquely solvable. Analogous problems are also considered for similar impulsive systems with small parameters.
Keywords.: Linear impulsive systems; singularities; systems with small parameters; two-point boundary value problems; Fredholm property; unique solvability
Received: 2010-12-28
Published Online: 2012-02-29
Published in Print: 2012-March
© 2012 by Walter de Gruyter Berlin Boston
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Keywords for this article
Linear impulsive systems;
singularities;
systems with small parameters;
two-point boundary value problems;
Fredholm property;
unique solvability
Articles in the same Issue
- Masthead
- Stability estimates for the multidimensional elliptic obstacle problem
- On the two-point boundary value problems for linear impulsive systems with singularities
- Explicit solutions of the boundary value problems of the theory of consolidation with double porosity for the half-plane
- Convergence of modification of the Durrmeyer type -Baskakov operators
- Backward stochastic differential equations with a convex generator
- On some ideal defined by density topology in the Cantor set
- Maximal operator of the Fejér means of triangular partial sums of two-dimensional Walsh–Fourier series
- Fixed point theorems for hybrid mappings satisfying an integral type contractive condition
- On the nonexistence of blowing-up solutions to a fractional functional-differential equation
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