Existence of mild solutions for a class of non-autonomous evolution equations with nonlocal initial conditions


Authors

Tahira Jabeen - Abdus Salam School of Mathematical Sciences, GC University, Lahore, Pakistan. Vasile Lupulescu - Constantin Brancusi University, Republicii 1, 210152 Targu-Jiu, Romania.


Abstract

Using the techniques of measures of noncompactness and Schauder fixed point theorem, we present some existence results for mild solutions of a class of nonlocal evolution equations involving causal operators. Moreover, we obtain the compactness of the set of global mild solutions. An example is given to show the efficiency and usefulness of the results.


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ISRP Style

Tahira Jabeen, Vasile Lupulescu, Existence of mild solutions for a class of non-autonomous evolution equations with nonlocal initial conditions, Journal of Nonlinear Sciences and Applications, 10 (2017), no. 1, 141--153

AMA Style

Jabeen Tahira, Lupulescu Vasile, Existence of mild solutions for a class of non-autonomous evolution equations with nonlocal initial conditions. J. Nonlinear Sci. Appl. (2017); 10(1):141--153

Chicago/Turabian Style

Jabeen, Tahira, Lupulescu, Vasile. "Existence of mild solutions for a class of non-autonomous evolution equations with nonlocal initial conditions." Journal of Nonlinear Sciences and Applications, 10, no. 1 (2017): 141--153


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