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Zbl 1173.34338
Boucherif, Abdelkader
Semilinear evolution inclusions with nonlocal conditions. (English)
[J] Appl. Math. Lett. 22, No. 8, 1145-1149 (2009). ISSN 0893-9659

Summary: We discuss conditions for the existence of at least one solution of semilinear evolution inclusions with a nonlocal condition and a nonconvex right-hand side. Our technique is based on fixed point theorems for multivalued maps.
MSC 2000:
*34G20 Nonlinear ODE in abstract spaces
47D06 One-parameter semigroups and linear evolution equations
47N20 Appl. of operator theory to differential and integral equations

Keywords: evolution inclusion; nonconvex multivalued maps; nonlocal conditions; fixed point theorems

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