Initial Value Problems for Systems of Integrodifferential Equations in Banach Spaces
โ 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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โฆ 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.
๐ SIMILAR VOLUMES
In this paper, the fixed point theory is used to investigate the existence and uniqueness of solutions of initial value problems for nonlinear second order impulsive integro-differential equations in Banach spaces.
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.
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.
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.