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A Priori Solution Estimates for Nonlinear Vector Integral Equations
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M. I. Gil'
Veröffentlicht/Copyright:
9. Juni 2010
Abstract
Nonlinear vector integral equations are considered. Solution estimates and solvability conditions are derived. Applications to the periodic boundary value problem are also discussed. Under some restrictions our results improve the well-known ones. The main tool in the paper is the recent estimates for the resolvent of Hilbert-Schmidt operators.
Key words and phrases.: Nonlinear vector integral equations; solution estimates; solvability; periodic boundary value problem
Received: 2002-04-23
Revised: 2002-12-10
Published Online: 2010-06-09
Published in Print: 2003-December
© Heldermann Verlag
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Artikel in diesem Heft
- Critical Cardinalities and Additivity Properties of Combinatorial Notions of Smallness
- Existence of Global Weak Solutions for Coupled Thermoelasticity with Barber's Heat Exchange Condition
- A Priori Solution Estimates for Nonlinear Vector Integral Equations
- On a Boundary Value Problem for a Nonlocal Elliptic Equation
- On Noncoercive Elliptic Problems with Discontinuities
- Some Nonlinear Problems in Hyperconvex Metric Spaces
- Linearly Invariant Families of Holomorphic Mappings in . Transition to Other Dimensions
- On Continuous Selection Problems for Multivalued Mappings with the Local Intersection Property in Hyperconvex Metric Spaces
- Second-Order Characterizations of Convex and Pseudoconvex Functions
- On Marczewski-Burstin Representations of Algebras and Ideals
- New and Generalized Convergence Conditions for the Newton-Kantorovich Method
Schlagwörter für diesen Artikel
Nonlinear vector integral equations;
solution estimates;
solvability;
periodic boundary value problem
Artikel in diesem Heft
- Critical Cardinalities and Additivity Properties of Combinatorial Notions of Smallness
- Existence of Global Weak Solutions for Coupled Thermoelasticity with Barber's Heat Exchange Condition
- A Priori Solution Estimates for Nonlinear Vector Integral Equations
- On a Boundary Value Problem for a Nonlocal Elliptic Equation
- On Noncoercive Elliptic Problems with Discontinuities
- Some Nonlinear Problems in Hyperconvex Metric Spaces
- Linearly Invariant Families of Holomorphic Mappings in . Transition to Other Dimensions
- On Continuous Selection Problems for Multivalued Mappings with the Local Intersection Property in Hyperconvex Metric Spaces
- Second-Order Characterizations of Convex and Pseudoconvex Functions
- On Marczewski-Burstin Representations of Algebras and Ideals
- New and Generalized Convergence Conditions for the Newton-Kantorovich Method
