Inequalities of solutions of Volterra integral and differential equations.
Wang, Tingxiu (2009)
Electronic Journal of Qualitative Theory of Differential Equations [electronic only]
Nathalie Bartoli, Francis Collino (2000)
ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique
Nathalie Bartoli, Francis Collino (2010)
ESAIM: Mathematical Modelling and Numerical Analysis
A new system of integral equations for the exterior 2D time harmonic scattering problem is investigated. This system was first proposed by B. Després in [11]. Two new derivations of this system are given: one from elementary manipulations of classical equations, the other based on a minimization of a quadratic functional. Numerical issues are addressed to investigate the potential of the method.
Tvrdý, Milan (1997)
Memoirs on Differential Equations and Mathematical Physics
Štefan Schwabik (1972)
Časopis pro pěstování matematiky
Martin Costabel, Ernst Stephan, Wolfgang L. Wendland (1983)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
Malits, P. (2003)
International Journal of Mathematics and Mathematical Sciences
Fedotov, A.I. (2000)
Lobachevskii Journal of Mathematics
Aggarwala, B.D., Nasim, C. (1992)
International Journal of Mathematics and Mathematical Sciences
Nasim, C. (1986)
International Journal of Mathematics and Mathematical Sciences
Aggarwala, B.D. (1997)
International Journal of Mathematics and Mathematical Sciences
Sampath, C., Jain, D.L. (1988)
International Journal of Mathematics and Mathematical Sciences
S. Prößdorf, A. Rathsfeld (1986)
Numerische Mathematik
Nguyen Xuan Thao (2010)
Mathematical Problems in Engineering
I. Gohberg, E. Azoff, K. Clancey (1979/1980)
Manuscripta mathematica
Kapanadze, R. (1994)
Georgian Mathematical Journal
Óscar Ciaurri, José Guadalupe, Mario Pérez, Juan Varona (2000)
Studia Mathematica
We study dual integral equations associated with Hankel transforms, that is, dual integral equations of Titchmarsh’s type. We reformulate these equations giving a better description in terms of continuous operators on spaces, and we solve them in these spaces. The solution is given both as an operator described in terms of integrals and as a series which converges in the -norm and almost everywhere, where denotes the Bessel function of order ν. Finally, we study the uniqueness of the solution....
Xu, Y., Zhao, J.J., Sui, Z.N. (2007)
Discrete Dynamics in Nature and Society
G. K. Kulev, D. D. Bainov (1991)
ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique
Ramamohana Rao, M., Sivasundaram, S. (1991)
Journal of Applied Mathematics and Stochastic Analysis