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Abstrakty
Our purpose in this paper is to study the existence of solution of nonlinear second order mixed functional integrodierential equation with nonlocal condition in Banach space by employing two different techniques namely the Darbo-Sadovskii's fixed point theorem with Hausdorff's measure of noncompactness and the Leray Schauder Alternative
Czasopismo
Rocznik
Tom
Strony
75--96
Opis fizyczny
Bibliogr. 10 poz.
Twórcy
autor
- Department of Mathematics, Dr. Babasaheb Ambedkar Marathwada University Aurangabad - 431004, Maharashtra, India
autor
- Department of Mathematics Dr. Babasaheb Ambedkar Marathwada University Aurangabad - 431004, Maharashtra, India
Bibliografia
- [1] Balachandran K., Park J.Y., Marshal Anthoni S., Controllability of second order semilinear Volterra integrodifferential systems in Banach spaces, Bull.Korean Math. Soc., 36(1)(1999), 1-13.
- [2] Balachandran K., Park D.J., Marshal Anthoni S., Existence of solutions of abstract nonlinear second order neutral functional integrodifferential equations, Computers and Mathematics with Applications, 46(2003), 1313-1324.
- [3] Banas J., Goebel K., Measure of Noncompactness in Banach Spaces, Lecture Notes in Pure and Applied Math. Dekker, New York, Vol 60, 1980.
- [4] Dugundji J., Granas A., Fixed Point Theory, Monografie Mathematyczno, PWN, Warsaw, Vol.1, 1982.
- [5] Ntouyas S.K., Initial and boundary value problems for functional differential equations via the topological transversality method: a survey, Bull. Greek Math. Soc., 40(1998), 3-41.
- [6] Ntouyas S.K., Tsamatos P.Ch., Global existence for second order semilinear ordinary and delay integrodifferential equations with nonlocal conditions, Applicable Analysis, 67(2010), 245-257.
- [7] Pazy A., Semigroups of Linear Operators and Applications to Partial Differential Equations, Springer-Verlag, New York, 1983.
- [8] Runping Y., Guowei Z., Neutral functional differential equations of second order with infinite delays, Elec.J.D.E., 36(2010), 1-12.
- [9] Travis C.C., Webb G.F., Compactness, regularity and uniform continuity properties of strongly continuous cosine families, Houston Journal of Mathematics, 3(1977), 555-567.
- [10] Travis C.C., Webb G.F., Cosine families and abstract nonlinear second order differential equations, Acta Mathematica Academiae Scientiarum Hungaricae, 32(3-4)(1978), 75-96.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-89c34f92-8194-4f6d-bb12-cce00d994e71