On the existence and asymptotic behaviour of solutions of an evolution equation and an application to the Feynman-Kac theorem

DOI10.1016/j.na.2011.06.055zbMath1242.34113OpenAlexW2020145807MaRDI QIDQ640204

Leszek Olszowy, Stanislaw Wedrychowicz

Publication date: 17 October 2011

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2011.06.055

zbMATH Keywords

asymptotic behaviormeasure of noncompactnessmild solutionsattractivitysemilinear equation of evolution

Mathematics Subject Classification ID

Nonlinear differential equations in abstract spaces (34G20) Asymptotic properties of solutions to ordinary differential equations (34D05)

Related Items

Existence of mild solutions of second order evolution integro-differential equations in the Fre'chet spaces, Second order evolution equations with nonlocal conditions, Global existence and stability for functional evolution equations with state-dependent delay, Measure of noncompactness and semilinear differential equations in Fréchet spaces, Asymptotic stability of solutions for some classes of impulsive differential equations with distributed delay

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