Integral and Integrodifferential Equations: Theory, Methods and Applications

✍ Scribed by Ravi P. Agarwal, Donal O'Regan (eds.)

• Publisher: Gordon and Breach Science Publishers
• Year: 2000
• Tongue: English
• Leaves: 340
• Series: Series in mathematical analysis and applications 2
• Edition: 1
• Category: Library

✦ Synopsis

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

Content: 1. The Solution Set of Integral Inclusions on the Half Line / R. P. Agarwal and D. O'Regan --
2. Periodic Solutions of Integrodifferential Inclusions / R. P. Agarwal and D. O'Regan --
3. On Nonlinear Volterra --
Stieltjes Integral Operators / J. Banas --
4. A Modified Collocation Method for Volterra Delay Integrodifferential Equations with Multiple Delays / A. Burgstaller --
5. On the Numerical Solution of Initial Boundary Value Problems by the Laguerre Transformation and Boundary Integral Equations / R. Chapko and R. Kress --
6. Remarks on Hammerstein Integral Operators / G. Emmanuele --
7. Preserving Transient Behaviour in Numerical Solutions of Volterra Integral Equations of Convolution Type / N. J. Ford and C. T. H. Baker --
8. A Spline Method for the Numerical Solution of Volterra Integral Equations of the Second Kind / L. Gori and E. Santi --
9. Boundary Value Problems for a Class of Integro-differential Equations and Applications / R. B. Guenther and J. W. Lee --
10. Integro-Differential Equations on Unbounded Domains in Banach Spaces / D. Guo --
11. Global Attractivity in Diffusive Integrodifferential Equations / Y. Hamaya --
12. On a Cauchy-Singular Boundary Integral Equation of the First Kind / R. Laube --
13. Revisiting CSIE in L[superscript 2]: Condition Numbers and Inverse Theorems / C. Laurita, G. Mastroianni and M. G. Russo --
14. Periodic Boundary Value Problems for First-Order Impulsive Integro-Differential Equations in Abstract Spaces / X. Liu --
15. Convergence of Product Integration Rules for Weights on the Whole Real Line II / D. S. Lubinsky --
16. Existence Theory for Nonresonant Nonlinear Fredholm Integral Equations and Nonresonant Operator Equations / M. Meehan and D. O'Regan --
17. Periodic Boundary Value Problem for Nonlinear First Order Integro-Ordinary Differential Equations / J. J. Nieto, E. Liz and D. Franco --
18. Interpolatory Quadrature Formulae with Bernstein-Szego Abscissae / S. E. Notaris --
19. Uniqueness Problems for Some Classes of Nonlinear Volterra Equations / W. Okrasinski --
20. Dynamics of a Volterra --
Lotka Competition Model with Diffusion and Time Delays / C. V. Pao --
21. Hammerstein Integral Inclusions in Banach Spaces / N. S. Papageorgiou and N. Yannakakis --
22. A Note on Polynomial Interpolation on Holder Spaces / U. Schmid --
23. Integro-differential Equations and Variational Lyapunov Method / S. A. F. Stephens and V. Lakshmikantham --
24. A Second Kind Fredholm Integral Arising in Radiative Heat Exchange / D. J. Worth, A. Spence and S. T. Kolaczkowski.

✦ Subjects

Integral equations;Integro-differential equations;Equações integro-diferenciais;Integralgleichung;Integrodifferentialgleichung