Bourgin‐Yang‐type theorem for a‐compact perturbations of closed operators. Part I. The case of index theories with dimension property
Copyright policy )Bourgin‐Yang‐type theorem for a‐compact perturbations of closed operators. Part I. The case of index theories with dimension property
Summary: A variant of the Bourgin--Yang theorem for \(a\)-compact perturbations of a closed linear operator (in general, unbounded and having an infinite-dimensional kernel) is proved. An application to integrodifferential equations is discussed.
- National Autonomous University of Mexico Mexico
- Netanya Academic College Israel
- Voronezh State University Russian Federation
Integro-ordinary differential equations, Fixed-point theorems, Degree theory for nonlinear operators, Applications of operator theory to differential and integral equations, Equations involving nonlinear operators (general), QA1-939, integro-differential equations, Degree, winding number, Integro-differential operators, Mathematics, Bourgin-Yang theorem
Integro-ordinary differential equations, Fixed-point theorems, Degree theory for nonlinear operators, Applications of operator theory to differential and integral equations, Equations involving nonlinear operators (general), QA1-939, integro-differential equations, Degree, winding number, Integro-differential operators, Mathematics, Bourgin-Yang theorem
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