ISSN:2164-6376 (print)
ISSN:2164-6414 (online)
Discontinuity, Nonlinearity, and Complexity

Dimitry Volchenkov (editor), Dumitru Baleanu (editor)

Dimitry Volchenkov(editor)

Mathematics & Statistics, Texas Tech University, 1108 Memorial Circle, Lubbock, TX 79409, USA

Email: dr.volchenkov@gmail.com

Dumitru Baleanu (editor)

Cankaya University, Ankara, Turkey; Institute of Space Sciences, Magurele-Bucharest, Romania

Solvability in the Sense of Sequences for Some Non-fredholm Elliptic Problems

Discontinuity, Nonlinearity, and Complexity 2(4) (2013) 389--399 | DOI:10.5890/DNC.2013.11.007

Vitaly Volpert$^{1}$; Vitali Vougalter$^{2}$

$^{1}$ Institute Camille Jordan, UMR 5208 CNRS, University Lyon 1, Villeurbanne, 69622, France

$^{2}$ Department ofMathematics and Applied Mathematics, University of Cape Town, Private Bag, Rondebosch 7701, South Africa

Abstract

We establish solvability in the sense of sequences in the appropriate H2 spaces for certain linear nonhomogeneous elliptic problems involving Schrödinger type operators without Fredholm property using the technique developed in our preceding work [23]. We show the existence of bounded solutions for certain nonlinear Lippmann-Schwinger equations.

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