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Sets in the ranges of nonlinear accretive operators in Banach spaces

Athanassios Kartsatos — 1995

Studia Mathematica

Let X be a real Banach space and G ⊂ X open and bounded. Assume that one of the following conditions is satisfied: (i) X* is uniformly convex and T:Ḡ→ X is demicontinuous and accretive; (ii) T:Ḡ→ X is continuous and accretive; (iii) T:X ⊃ D(T)→ X is m-accretive and Ḡ ⊂ D(T). Assume, further, that M ⊂ X is pathwise connected and such that M ∩ TG ≠ ∅ and $M \cap \bar{T (\partial G)} = \emptyset$ . Then $M \subset \bar{T G}$ . If, moreover, Case (i) or (ii) holds and T is of type $(S_{1})$ , or Case (iii) holds and T is of type $(S_{2})$ , then M ⊂ TG. Various results of Morales,...

A compact evolution operator generated by a nonlinear time-dependent m-accretive operator in a Banach space.

Athanassios G. Kartsatos — 1995

Mathematische Annalen

Bounded solutions to perturbed nonlinear systems and asymptotic relationships.

Athanassios G. Kartsatos — 1975

Journal für die reine und angewandte Mathematik

The controllability of a quasilinear functional differential system

Vitali C. Dannon; Athanassios G. Kartsatos — 1987

Annales Polonici Mathematici

On a new method for studying the stability of Volterra integral equations

Athanassios G. Kartsatos; William R. Zigler — 1974

Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti

Mediante l'uso di teoremi di punto fisso si deduce la stabilità delle soluzioni di un'equazione di Volterra non lineare dalla stabilità delle soluzioni di una famiglia di equazioni di Volterra lineari.

A new topological degree theory for densely defined quasibounded $({\tilde{S}}_{+})$ -perturbations of multivalued maximal monotone operators in reflexive Banach spaces.

Kartsatos, Athanassios G.; Skrypnik, Igor V. — 2005

Abstract and Applied Analysis

Eigenvalues and ranges for perturbations of nonlinear accretive and monotone operators in Banach spaces.

Zhou, Haiyun; Kartsatos, Athanassios G. — 1997

Abstract and Applied Analysis

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Currently displaying 1 – 7 of 7

Sets in the ranges of nonlinear accretive operators in Banach spaces

A compact evolution operator generated by a nonlinear time-dependent m-accretive operator in a Banach space.

Bounded solutions to perturbed nonlinear systems and asymptotic relationships.

The controllability of a quasilinear functional differential system

On a new method for studying the stability of Volterra integral equations

A new topological degree theory for densely defined quasibounded $({\tilde{S}}_{+})$ -perturbations of multivalued maximal monotone operators in reflexive Banach spaces.

Eigenvalues and ranges for perturbations of nonlinear accretive and monotone operators in Banach spaces.

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Formula preview

Currently displaying 1 – 7 of 7

Sets in the ranges of nonlinear accretive operators in Banach spaces

A compact evolution operator generated by a nonlinear time-dependent m-accretive operator in a Banach space.

Bounded solutions to perturbed nonlinear systems and asymptotic relationships.

The controllability of a quasilinear functional differential system

On a new method for studying the stability of Volterra integral equations

A new topological degree theory for densely defined quasibounded ( S ˜ + ) -perturbations of multivalued maximal monotone operators in reflexive Banach spaces.

Eigenvalues and ranges for perturbations of nonlinear accretive and monotone operators in Banach spaces.

A new topological degree theory for densely defined quasibounded $({\tilde{S}}_{+})$ -perturbations of multivalued maximal monotone operators in reflexive Banach spaces.