1st Edition

Integral and Integrodifferential Equations

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ISBN 9789056992217
Published March 9, 2000 by CRC Press
331 Pages

USD $240.00

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Book Description

This collection of 24 papers, which encompasses the construction and the qualitative as well as quantitative properties of solutions of Volterra, Fredholm, delay, impulse integral and integro-differential equations in various spaces on bounded as well as unbounded intervals, will conduce and spur further research in this direction.

Table of Contents

Preface, 1. The Solution Set of Integral Inclusions on the Half Line, 2. Periodic Solutions of Integrodifferential Inclusions, 3. On Nonlinear Volterra-Stieltjes Integral Operators, 4. A Modified Collocation Method for Volterra Delay Integrodifferential Equations with Multiple Delays, 5. On the Numerical Solution of Initial Boundary Value Problems by the Laguerre Transformation and Boundary Integral Equations, 6. Remarks on Hammerstein Integral Operators, 7. Preserving Transient Behaviour in Numerical Solutions of Volterra Integral Equations of Convolution Type, 8. A Spline Method for the Numerical Solution of Volterra Integral Equations of the Second Kind, 9. Boundary Value Problems for a Class of Integro-differential Equations and Applications, 10. Integro-Differential Equations on Unbounded Domains in Banach Spaces, 11. Global Attractivity in Diffusive Integrodifferential Equations, 12. On a Cauchy-Singular Boundary Integral Equation of the First Kind, 13. Revisiting CSIE in L2 Condition Numbers and Inverse Theorems, 14. Periodic Boundary Value Problems for First-Order Impulsive Integro-Differential Equations in Abstract Spaces, 15. Convergence of Product Integration Rules for Weights on the Whole Real Line II, 16. Existence Theory for Nonresonant Nonlinear Fredholm Integral Equation and Nonresonant Operator Equations, 17. Periodic Boundary Value Problem for Nonlinear First Order Integro-Ordinary Differential Equations, 18. Interpolatory Quadrature Formulae with Bernstein-Szego Abscissae, 19. Uniqueness Problems for Some Classes for Nonlinear Volterra Equations, 20. Dynamics of a Volterra-Lotka Competition Model with Diffusion and Time Delays, 21. Hammerstein Integral Inclusions in Banach Spaces, 22. A Note on Polynomial Interpolation on Holder Spaces, 23. Integro-differential Equations and Variational Lyapunov Method, 24. A Second Kind Fredholm Integral Equation Arising in Radiative Heat Exchange

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Agarwal\, Ravi P.; O'Regan\, Donal