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Sup-Measurable and Weakly Sup-Measurable Mappings in the Theory of Ordinary Differential Equations
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A. B. Kharazishvili
Published/Copyright:
June 4, 2010
Abstract
We discuss some set–theoretical questions concerning the notion of sup-measurability of functions of two variables and the existence and uniqueness of solutions of ordinary differential equations.
Key words and phrases.: Lebesgue measurable function; sup-measurable mapping; weakly sup-measurable mapping; ordinary differential equation; Cauchy problem
Received: 1997-06-18
Revised: 1997-09-16
Published Online: 2010-06-04
Published in Print: 1997-December
©Heldermann Verlag
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Articles in the same Issue
- Set Theoretic Real Analysis
- On Ciesielski's Problems
- Sup-Measurable and Weakly Sup-Measurable Mappings in the Theory of Ordinary Differential Equations
- The Gradient Method for Non–Differentiable Operators in Product Hilbert Spaces and Applications to Elliptic Systems of Quasilinear Differential Equations
- Minimax Inequality of Ky Fan Type in H-Spaces with Applications
- Existence of Equilibria in Finitely Additive Nonatomic Coalition Production Economies
- An Adaptive Parallel Projection Method for Solving Convex Feasibility Problems
Keywords for this article
Lebesgue measurable function;
sup-measurable mapping;
weakly sup-measurable mapping;
ordinary differential equation;
Cauchy problem
Articles in the same Issue
- Set Theoretic Real Analysis
- On Ciesielski's Problems
- Sup-Measurable and Weakly Sup-Measurable Mappings in the Theory of Ordinary Differential Equations
- The Gradient Method for Non–Differentiable Operators in Product Hilbert Spaces and Applications to Elliptic Systems of Quasilinear Differential Equations
- Minimax Inequality of Ky Fan Type in H-Spaces with Applications
- Existence of Equilibria in Finitely Additive Nonatomic Coalition Production Economies
- An Adaptive Parallel Projection Method for Solving Convex Feasibility Problems
