O výpočtu pravděpodobností, které se vztahují k časovému vývoji soustav
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Bohuslav Hostinský (1948)
Aktuárské vědy
Milan Medveď (1978)
Czechoslovak Mathematical Journal
Gil, Alexey, Samko, Stefan (2010)
Fractional Calculus and Applied Analysis
Mathematics Subject Classification 2010: 45DB05, 45E05, 78A45.We give a procedure to reduce a hypersingular integral equation, arising in 2d diffraction problems on cracks in elastic media, to a Fredholm integral equation of the second kind, to which it is easier and more effectively to apply numerical methods than to the initial hypersingular equation.
Jerzy Muszyński (1981)
Czechoslovak Mathematical Journal
Pachpatte, Deepak B. (2009)
Electronic Journal of Qualitative Theory of Differential Equations [electronic only]
Igor Bock, Ján Lovíšek (2003)
Applications of Mathematics
We consider a class of Volterra-type integral equations in a Hilbert space. The operators of the equation considered appear as time-dependent functions with values in the space of linear continuous operators mapping the Hilbert space into its dual. We are looking for maximal values of cost functionals with respect to the admissible set of operators. The existence of a solution in the continuous and the discretized form is verified. The convergence analysis is performed. The results are applied to...
Kokilashvili, V., Meskhi, A. (2001)
Georgian Mathematical Journal
Balachandran, Krishnan (1990)
Journal of Applied Mathematics and Stochastic Analysis
Vaz, P.T., Deo, S.G. (1990)
Journal of Applied Mathematics and Stochastic Analysis
Jan Popiołek (1997)
Annales Polonici Mathematici
We prove the existence of solutions of some boundary-value problems for partial differential equations of order higher than two. The general idea is similar to that in [1]. We make an essential use of the results of our paper [12].
Balachandran, K., Prakash, P. (2004)
Journal of Applied Mathematics and Stochastic Analysis
Stanisław Szufla (1980)
Annales Polonici Mathematici
Józef Piórek (1979)
Annales Polonici Mathematici
Sitnik, S.M. (2010)
Vladikavkazskiĭ Matematicheskiĭ Zhurnal
Hermann Sohr, Jan Prüss (1990)
Mathematische Zeitschrift
Jiří Cerha (1976)
Časopis pro pěstování matematiky
Satoru Murakami, Pham Ngoc (2010)
Open Mathematics
We study positive linear Volterra integro-differential equations in Banach lattices. A characterization of positive equations is given. Furthermore, an explicit spectral criterion for uniformly asymptotic stability of positive equations is presented. Finally, we deal with problems of robust stability of positive systems under structured perturbations. Some explicit stability bounds with respect to these perturbations are given.
Horst R. Thieme (1980)
Manuscripta mathematica
Stojanović, Mirjana (1996)
Novi Sad Journal of Mathematics
M. Kwapisz, J. Turo (1979)
Aequationes mathematicae
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