O použití distribucí v teorii lineárních dynamických soustav
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Václav Doležal (1959)
Aplikace matematiky
Václav Doležal (1959)
Aplikace matematiky
Bohuslav Hostinský (1948)
Aktuárské vědy
Samko, Stefan (2011)
Fractional Calculus and Applied Analysis
MSC 2010: 45DB05, 45E05, 78A45We show that a certain axisymmetric hypersingular integral equation arising in problems of cracks in the elasticity theory may be explicitly solved in the case where the crack occupies a plane circle. We give three different forms of the resolving formula. Two of them involve regular kernels, while the third one involves a singular kernel, but requires less regularity assumptions on the the right-hand side of the equation.
Charbel Wehbe (2015)
Applications of Mathematics
We consider a phase field system based on the Maxwell Cattaneo heat conduction law, with a logarithmic nonlinearity, associated with Dirichlet boundary conditions. In particular, we prove, in one and two space dimensions, the existence of a solution which is strictly separated from the singularities of the nonlinear term and that the problem possesses a finite-dimensional global attractor in terms of exponential attractors.
A. Ivić (1973)
Matematički Vesnik
W. Okrasiński (1980)
Colloquium Mathematicae
H. Ugowski (1973)
Annales Polonici Mathematici
Pachpatte, Baburao G. (2008)
JIPAM. Journal of Inequalities in Pure & Applied Mathematics [electronic only]
Dariusz Idczak, A. Skowron, S. Walczak (2014)
Banach Center Publications
We study an integro-differential operator Φ: H̅¹ → L² of Fredholm type and give sufficient conditions for Φ to be a diffeomorphism. An application to functional equations is presented.
Rafeiro, Humberto, Samko, Stefan (2007)
Fractional Calculus and Applied Analysis
2000 Mathematics Subject Classification: 45A05, 45B05, 45E05,45P05, 46E30We obtain a criterion of Fredholmness and formula for the Fredholm index of a certain class of one-dimensional integral operators M with a weak singularity in the kernel, from the variable exponent Lebesgue space L^p(·) ([a, b], ?) to the Sobolev type space L^α,p(·) ([a, b], ?) of fractional smoothness. We also give formulas of closed form solutions ϕ ∈ L^p(·) of the 1st kind integral equation M0ϕ = f, known as the generalized...
Horst R. Thieme (1979)
Manuscripta mathematica
Noor, Muhammad Aslam (1998)
Journal of Applied Mathematics and Stochastic Analysis
Ioannis K. Argyros (1988)
Aequationes mathematicae
Kohl, W. (2000)
Zeitschrift für Analysis und ihre Anwendungen
Eugenio Sinestrari (1984)
Mathematische Zeitschrift
Daniela Sforza (1991)
Rendiconti del Seminario Matematico della Università di Padova
Milan Medveď (1978)
Czechoslovak Mathematical Journal
Dhage, B.C. (2002)
Electronic Journal of Qualitative Theory of Differential Equations [electronic only]
Thierry Goudon, Mazen Saad (1998)
Revista Matemática Complutense
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