Applications of Henstock-Kurzweil integrals on an unbounded interval to differential and integral equations
-
Marcin Borkowski
and
Daria Bugajewska
Abstract
In this paper we are going to apply the Henstock-Kurzweil integrals defined on an unbounded intervals to differential and integral equations defined on such intervals. To deal with linear differential equations we examine convolution involving functions integrable in Henstock-Kurzweil sense. In the case of nonlinear Hammerstein integral equation as well as Volterra integral equation we look for solutions in the space of functions of bounded variation in the sense of Jordan.
Acknowledgement
We would like to thank the anonymous Referees for their fastidious reading of the previous versions of this paper and valuable and detailed suggestions and comments.
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© 2017 Mathematical Institute Slovak Academy of Sciences
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Articles in the same Issue
- On the number of cycles in a graph
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- On a generalized concept of order relations on B(H)
- A study of stabilizers in triangle algebras
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- Big mapping class groups are not acylindrically hyperbolic
- Applications of Henstock-Kurzweil integrals on an unbounded interval to differential and integral equations
- Starlike and convex functions with respect to symmetric conjugate points involving conical domain
- Summations of Schlömilch series containing anger function terms
- Some vector valued sequence spaces of Musielak-Orlicz functions and their operator ideals
- Nuclear operators on Cb(X, E) and the strict topology
- More on cyclic amenability of the Lau product of Banach algebras defined by a Banach algebra morphism
- Matrix generalized (θ, ϕ)-derivations on matrix Banach algebras
- Nonlinear ∗-Jordan triple derivations on von Neumann algebras
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- Rational homotopy of maps between certain complex Grassmann manifolds
- Examples of random fields that can be represented as space-domain scaled stationary Ornstein-Uhlenbeck fields
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