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Existence of solutions for quasi-linear impulsive functional integrodi erential equations in Banach spaces
(J. Nonlinear Sci. Appl., 2014) Francis Paul Samuel; Krishnan Balachandran
We study the existence of mild solutions for quasilinear impulsive integrodi erential equation in Banach spaces. The results are established by using Hausdor 's measure of noncompactness and xed point theorem. Application is provided to illustrate the theory. c 2014 All rights reserved.
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Controllability Results for Impulsive Neutral Functional Evolution Integrodifferential Inclusions with Infinite Delay
(European International Journal of Science and Technology, 2013-06) T. Gunasekar; F. Paul Samuel; M. Mallika Arjunan
In this paper controllability of the following impulsive partial neutral functional integrodifferential evolution inclusions with infinite delay in Banach spaces. The approach is used the nonlinear alternative of Leray-Schauder type multivalued maps. An example is also given to illustrate our result.
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Existence Solutions for Quasilinear Evolution Integrodifferential Equations with Infinite Delay
(International Journal of Engineering and Technical Research (IJETR), 2014-04) Francis Paul Samuel; Tumaini RukikoLisso; Kayiita Zachary Kaunda
The paper is concerned with the existence and uniqueness solution of quasi linear evolution integrodifferential equations with in finite delay in Banach spaces. The results a reobtained by C0-semi group of linear bounded ope rato r and Banach f ix ed point theorem.
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Quasilinear Delay Differential Equations with Nonlocal Conditions via Measures of Non Compactness
(International Journal of Mathematics Trends and Technology, 2014-04) Francis Paul Samuel
In this paper, we study the existence of mild solutions for quasilinear delay differential equations with nonlocalCauchy problem in Banach spaces. The results are established by using Hausdorff’s measure of noncompactness.
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Existence of Solutions to Quasilinear Delay Differential Equations with Nonlocal Conditions
(International Journal of Mathematics Trends and Technology, 2014) Francis Paul Samuel; Tumaini Lisso; Kayiita Zachary
We prove the existence and uniqueness of mild and classical solution to a quasilinear delay differential equation with nonlocal condition. The results are obtained by using C0-semigroup and the Banach fixed point theorem. AMS Subject Classification: 34G20, 47D03, 47H10, 47H20