Existence and uniqueness of mild and strong solutions of a semilinear evolution equation with nonlocal conditions

zbMath0808.47047MaRDI QIDQ1327662

S. Ilamaran, Krishnan Balachandran

Publication date: 19 June 1994

Published in: Indian Journal of Pure \& Applied Mathematics (Search for Journal in Brave)

zbMATH Keywords

existence and uniquenessBanach fixed point theoremmethod of semigroupsmild and strong solutions of a semilinear evolution equation with nonlocal initial conditions

Mathematics Subject Classification ID

Semigroups of nonlinear operators (47H20) Equations involving nonlinear operators (general) (47J05)

Related Items (15)

Existence of the classical and strong solutions for fractional semilinear initial value problems ⋮ Application of properties of the right-hand sides of evolution equations to an investigation of nonlocal evolution problems ⋮ The existence and uniqueness of mild solutions for fractional differential equations with nonlocal conditions of order \(1<\alpha<2\) ⋮ Controllability of impulsive evolution inclusions with nonlocal conditions ⋮ Second order evolution equations with nonlocal conditions ⋮ Approximate controllability for a class of abstract second-order functional evolution equations ⋮ Controllability of evolution inclusions with nonlocal conditions ⋮ Unnamed Item ⋮ Controllability for an infinite-time horizon of second-order differential inclusions in Banach spaces with nonlocal conditions ⋮ Existence of mild solutions on noncompact intervals to second-order initial value problems for a class of differential inclusions with nonlocal conditions ⋮ Existence and regularity of solutions to nonlocal retarded differential equations ⋮ Existence of solutions to nonlinear differential equations with nonlocal conditions ⋮ Controllability of second-order differential inclusions in Banach spaces with nonlocal conditions ⋮ Existence and differentiability of solutions for nondensely defined neutral integro-differential evolution equations ⋮ Controllability of nonlinear differential equations in Banach space with nonlocal conditions

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