Evolution Problems with m -Accretive Operators and Perturbations

Charles Castaing, Christiane Godet-Thobie, Manuel D. P. Monteiro Marques and Anna Salvadori
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Charles Castaing: Centre National de la Recherche Scientifique (CNRS), Institut Montpelliérain Alexander Grothendieck (IMAG), University Montpellier, 34090 Montpellier, France
Christiane Godet-Thobie: Laboratoire de Mathématiques de Bretagne Atlantique, Université de Bretagne Occidentale, CNRS UMR 6205, 6, Avenue Victor Le Gorgeu, CS 9387, 29238 Brest, France
Manuel D. P. Monteiro Marques: Center of Mathematics, Fundamental Applications and Operations Research (CMAF-CIO), Departamento de Matemática, Faculdade de Ciências da Universidade de Lisboa, Campo Grande, 1749-016 Lisboa, Portugal
Anna Salvadori: Dipartimento di Matematica, Universita di Perugia, via Vanvitelle 1, 06123 Perugia, Italy

Mathematics, 2022, vol. 10, issue 3, 1-32

Abstract: This paper is devoted to the study of perturbation evolution problems involving time-dependent m -accretive operators. We present for a specific class of m -accretive operators with convex weakly compact-valued perturbation, some results about the existence of absolutely continuous solutions and BRVC solutions. We finish by giving several applications to various domains such as relaxation results, second-order evolution inclusions, fractional-order equations coupled with m -accretive operators and Skorohod differential inclusions.

Keywords: evolution problems; m -accretive operator; perturbation; AC solution; BRVC solution; second-order evolution inclusion; Volterra integro-differential inclusion (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2022
References: View complete reference list from CitEc
Citations: View citations in EconPapers (1)

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