Nonlocal Cauchy problems close to an asymptotically stable equilibrium point

DOI10.1016/j.jmaa.2015.08.076zbMath1330.34100OpenAlexW1813339492MaRDI QIDQ499247

Adrian Viorel

Publication date: 30 September 2015

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2015.08.076

zbMATH Keywords

sectorial operatorssemi-linear evolution equationsasymptotically stable equilibrium pointnon-local Cauchy problem

Mathematics Subject Classification ID

Nonlinear differential equations in abstract spaces (34G20) Applications of operator theory to differential and integral equations (47N20) Nonlocal and multipoint boundary value problems for ordinary differential equations (34B10)

Related Items (2)

Evolution equations with nonlocal initial conditions and superlinear growth ⋮ Nonlocal solutions of parabolic equations with strongly elliptic differential operators

Cites Work

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• Semigroups of linear operators and applications to partial differential equations
• Geometric theory of semilinear parabolic equations
• Theorems about the existence and uniqueness of solutions of a semilinear evolution nonlocal Cauchy problem
• Exponential decay of solutions of semilinear parabolic equations with nonlocal initial conditions
• Continuation method for contractive maps
• The one-dimensional heat equation with a nonlocal initial condition
• First-order differential inclusions with nonlocal initial conditions
• Existence results and asymptotic behavior for nonlocal abstract Cauchy problems
• Existence of solutions of a semilinear functional-differential evolution nonlocal problem
• Global existence for semilinear evolution integrodifferential equations with delay and nonlocal conditions
• Dynamics of evolutionary equations

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