Abstract
We prove the well-posedness of the Cauchy, Goursat, and Darboux problems for multidimensional in-tegro-differential equations of the hyperbolic type encountered in biology.
Similar content being viewed by others
References
V. Volterra, Theory of Functionals and of Integral and Integro-Differenrial Equations, Dover, New York 1959.
A. M. Nakhushev, Equations of Mathematical Biology [in Russian] Vysshaya Shkola, Moscow 1995.
S. G. Mikhlin, Multidimensional Singular Integrals and Integral Equations [in Russian] Fizmatgiz, Moscow 1962.
A. V. Bitsadze, Equations of Mixed Type [in Russian] Academy of Sciences of the USSR, Moscow 1959.
S. A. Aldashev, Boundary-Value Problems for Multidimensional Hyperbolic and Mixed Equations [in Russian], Gylym, Alma-Ata (1994).
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Aldashev, S.A. Some problems for multidimensional integro-differential equations of hyperbolic type. Ukr Math J 52, 673–679 (2000). https://doi.org/10.1007/BF02487280
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF02487280