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Initial problems for hyperbolic functional differential systems
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Elżbieta Puźniakowska-Gałuch
Published/Copyright:
May 15, 2013
Abstract.
The Cauchy problem for hyperbolic functional differential systems is considered. The Volterra and Fredholm dependence are considered. A theorem on the global existence of classical solutions defined on the Haar pyramid is proved. A result on the differentiability of a solution with respect to the initial function is obtained.
Keywords: Functional differential equation; Haar pyramid; differentiability of solutions; Fredholm type equation
Received: 2012-02-13
Revised: 2012-09-11
Accepted: 2012-09-25
Published Online: 2013-05-15
Published in Print: 2013-05-01
© 2013 by Walter de Gruyter Berlin Boston
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Keywords for this article
Functional differential equation;
Haar pyramid;
differentiability of solutions;
Fredholm type equation
Articles in the same Issue
- Masthead
- Fixed points of asymptotically regular mappings in complex-valued metric spaces
- Coverings of internal groupoids and crossed modules in the category of groups with operations
- A new study on almost increasing and quasi-monotone sequences
- On precompact sets in spaces Cc(X)
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- Symmetry of an integral equation with Bessel potential in ℝn+
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- On the maximal operator of Marcinkiewicz–Fejér means of the two-dimensional Walsh–Kaczmarz system
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- Initial problems for hyperbolic functional differential systems
- Approximation by complex q-Bernstein–Schurer operators in compact disks
- On some properties of conjugate trigonometric Fourier series
