Existence results and asymptotic behavior for nonlocal abstract Cauchy problems

By Jesus Garcia-Falset. 2008

52 citations recorded by the source corpus.

The purpose of this paper is to study the existence and asymptotic behavior of solutions for Cauchy problems with nonlocal initial datum generated by accretive operators in Banach spaces.

Subfields: Applied Mathematics

View Paper: https://www.semanticscholar.org/paper/3cafc6f01f1bb4f59aecf629f3decfe25dece462

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In Applied Mathematics

1. X. Xue
2. V. Staicu
3. Sergiu Aizicovici

Citations in the corpus

• Nonlocal nonlinear differential equations with a measure of noncompactness in Banach spaces (2009, background): “Recently, in [14] García-Falset discusses the nonlinear inclusions with nonlocal initial conditions for the case when f is compact and g is condensing; the cases when g : C([0, T]; X)→ D(A) and f : C([0, T]; X)→ L(0, T; X) are condensing.”