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Initial Value Problems for Systems of Integrodifferential Equations in Banach Spaces

โœ Scribed by Song Guang-xing


Publisher
Elsevier Science
Year
2001
Tongue
English
Weight
84 KB
Volume
264
Category
Article
ISSN
0022-247X

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โœฆ Synopsis


In this paper, by the use of new comparison results and mixed monotone iterative techniques, the existence of solutions of initial value problems for systems of integrodifferential equations in Banach spaces is discussed. The results obtained in this paper generalize and improve the results corresponding to those obtained by others. Our result is new even in finite-dimensional spaces.


๐Ÿ“œ SIMILAR VOLUMES


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โœ Sun Jinli; Ma Yihai ๐Ÿ“‚ Article ๐Ÿ“… 2000 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 100 KB

In this paper, we use the coupled fixed point theorem for mixed monotone condensing operators to obtain an existence and uniqueness theorem of solutions of initial value problems for the second order mixed monotone type of impulsive differential equations and its application.

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โœ K. Balachandran; R. Sakthivel ๐Ÿ“‚ Article ๐Ÿ“… 2001 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 88 KB

Sufficient conditions for controllability of functional semilinear integrodifferential systems in a Banach space are established. The results are obtained by using the Schaefer fixed-point theorem.

Controllability of Sobolev-Type Integrod
โœ K. Balachandran; J.P. Dauer ๐Ÿ“‚ Article ๐Ÿ“… 1998 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 155 KB

Sufficient conditions for controllability of Sobolev-type integrodifferential systems in Banach spaces are established. The results are obtained using compact semigroups and the Schauder fixed-point theorem. As an example is provided to illustrate the results.