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Morse homology for a class of elliptic partial differential equations
Communications in Contemporary MathematicsIn 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
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Solution sets of differential equations in abstract spaces
1996Aim 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
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A Result on Solvability of Some Fractional Integro-differential Equations in Abstract Spaces
Bulletin of the Iranian Mathematical Society, 2019zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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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.
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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.
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Nonlinear Integral Equations in Abstract Spaces
, 1996D. Guo, V. Lakshmikantham, Xinzhi Liu
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Solving integral equations in free space with inverse-designed ultrathin optical metagratings
Nature Nanotechnology, 2023Andrea Cordaro, Andrea Alu
exaly

