Browsing by Author "Francis Paul Samuel"
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Item Existence of solutions for quasi-linear impulsive functional integrodi erential equations in Banach spaces(J. Nonlinear Sci. Appl., 2014) Francis Paul Samuel; Krishnan BalachandranWe 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.Item 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 ZacharyWe 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, 47H20Item 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 KaundaThe 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.Item Quasilinear Delay Differential Equations with Nonlocal Conditions via Measures of Non Compactness(International Journal of Mathematics Trends and Technology, 2014-04) Francis Paul SamuelIn 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.