Infinite-Dimensional Degree Theory and Ramer’S Finite Co-Dimensional Differential Forms
Sign Up to like & getrecommendations! Published in 2021 at "Quarterly Journal of Mathematics"
DOI: 10.1093/qmath/haab022
Abstract: Infinite-dimensional degree theory, especially for Fredholm maps with positive index as developed with Tromba, is combined with Ramer’s unpublished thesis work on finite co-dimensional differential forms. As an illustrative example, the approach of Nicolaescu and… read more here.
Keywords: differential forms; dimensional degree; finite dimensional; degree theory ... See more keywords
A Degree Theory for Compact Perturbations of Monotone Type Operators and Application to Nonlinear Parabolic Problem
Sign Up to like & getrecommendations! Published in 2017 at "Abstract and Applied Analysis"
DOI: 10.1155/2017/7236103
Abstract: Let be a real locally uniformly convex reflexive Banach space with locally uniformly convex dual space . Let be maximal monotone, be bounded and of type and be compact with such that lies in (i.e.,… read more here.
Keywords: existence; theory; nonlinear parabolic; degree theory ... See more keywords
Existence results for coupled sequential ψ-Hilfer fractional impulsive BVPs: topological degree theory approach
Sign Up to like & getrecommendations! Published in 2024 at "Boundary Value Problems"
DOI: 10.1186/s13661-024-01901-y
Abstract: In this paper, the coupled system of sequential ψ -Hilfer fractional boundary value problems with non-instantaneous impulses is investigated. The existence results of the system are proved by means of topological degree theory. An example… read more here.
Keywords: existence results; degree theory; topological degree; hilfer fractional ... See more keywords