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Nonlinear Fredholm theory and applications. (English) Zbl 0791.47049

Wiener, Joseph (ed.) et al., Partial differential equations. Proceedings of the international conference on theory and applications of differential equations held at the University of Texas-Pan American, Edinburg, TX (USA), May 15-18, 1991. Harlow: Longman Scientific & Technical. Pitman Res. Notes Math. Ser. 273, 133-152 (1992).
Summary: We present some extensions of the Fredholm theory to nonlinear and semilinear maps of (pseudo) \(A\)-proper type and their applications to BVP’s for nonlinear ODE’s and elliptic PDE’s in (non)divergence form and to periodic-boundary value problems for semilinear hyperbolic equations and Hamiltonian systems.
For the entire collection see [Zbl 0785.00039].

MSC:

47J05 Equations involving nonlinear operators (general)
47A53 (Semi-) Fredholm operators; index theories
47E05 General theory of ordinary differential operators
47F05 General theory of partial differential operators
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