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Morse homology for a class of elliptic partial differential equations

Communications in Contemporary Mathematics
In this paper we show that a notion of non-degeneracy which allows to develop Morse theory is generically satisfied for a large class of C 2 -functionals defined on Banach spaces.
L. Asselle   +2 more
semanticscholar   +1 more source

Solution sets of differential equations in abstract spaces

1996
Aim of the monograph is to analyze the structure of the solution set of a differential equations in the more general case of abstract topological (infinite dimensional) spaces. Specifically, we consider both the spaces with a paucity of useful properties, e.g. locally convex spaces, and the more richly endowed spaces, e.g. Banach or Hilbert spaces. The
R. DRAGONI   +3 more
openaire   +2 more sources

A Result on Solvability of Some Fractional Integro-differential Equations in Abstract Spaces

Bulletin of the Iranian Mathematical Society, 2019
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +2 more sources

Optimality Conditions for Control Problems Governed by Abstract Semilinear Differential Equations in Complex Banach Spaces

Journal of Applied Analysis, 1997
Summary: We consider the problem to minimize an integral functional defined on the space of absolutely continuous functions and measurable controls with values in an infinite-dimensional complex Banach space. The states are governed by abstract first-order semilinear differential equations and are subject to periodic or anti-periodic type boundary ...
Ledzewicz, U., Nowakowski, A.
openaire   +2 more sources

Nonlinear Integral Equations in Abstract Spaces

, 1996
D. Guo, V. Lakshmikantham, Xinzhi Liu
semanticscholar   +1 more source

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