Existence of mild solutions for a class of non-autonomous evolution equations with nonlocal initial conditions
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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.
Share and Cite
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
Keywords
- Non-autonomous evolution equation
- nonlocal condition
- evolution semigroups
- causal operator
- mild solution.
MSC
- 34A12
- 34A30
- 34G10
- 47D06
- 47H30
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