Abstract Volterra operators

DOI10.3103/S1066369X08030018zbMath1172.47041MaRDI QIDQ1006942

J. Martínez

Publication date: 26 March 2009

Published in: Russian Mathematics (Search for Journal in Brave)

zbMATH Keywords

abstract Volterra operatorslocal solutionsfunctional differential equationsuniqueness of a solutionextension of solutionsVolterra invertibility of operators

Mathematics Subject Classification ID

Equations involving nonlinear operators (general) (47J05) Particular nonlinear operators (superposition, Hammerstein, Nemytski?, Uryson, etc.) (47H30) Applications of operator theory to differential and integral equations (47N20) General theory of functional-differential equations (34K05) Volterra integral equations (45D05)

Related Items (7)

Stability analysis of causal integral evolution impulsive systems on time scales ⋮ Analysis of fractional integro causal evolution impulsive systems on time scales ⋮ Unnamed Item ⋮ Fractional semilinear equations with causal operators ⋮ Existence of global solutions for some classes of integral equations ⋮ Fixed point equations with abstract Volterra operators on spaces of functions of several variables ⋮ Regularization of the classical optimality conditions in optimal control problems for linear distributed systems of Volterra type

Cites Work

• Measures of noncompactness and condensing operators. Transl. from the Russian by A. Iacob
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