A theorem about Carathéodory's superposition
Zbigniew Grande (1992)
Mathematica Slovaca
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Displaying similar documents to “Applications of the Carathéodory theorem to PDEs”
A theorem about Carathéodory's superposition
On four-point boundary value problems for differential inclusions and differential equations with and without multivalued moving constraints
Adel Mahmoud Gomaa (2012)
Czechoslovak Mathematical Journal
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We deal with the problems of four boundary points conditions for both differential inclusions and differential equations with and without moving constraints. Using a very recent result we prove existence of generalized solutions for some differential inclusions and some differential equations with moving constraints. The results obtained improve the recent results obtained by Papageorgiou and Ibrahim-Gomaa. Also by means of a rather different approach based on an existence theorem due...
On weak solutions of the equations of motion of a viscoelastic medium with variable boundary.
Zvyagin, V.G., Orlov, V.P. (2005)
Boundary Value Problems [electronic only]
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A viable result for nonconvex differential inclusions with memory.
Lupulescu, Vasile, Necula, Mihai (2006)
Portugaliae Mathematica. Nova Série
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Kuramoto-Sivashinsky equation in domains with moving boundaries.
Cousin, A.T., Larkin, N.A. (2002)
Portugaliae Mathematica. Nova Série
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On some properties of the solution of the differential equation
Valter Šeda, Ján Pekár (1990)
Aplikace matematiky
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In the paper it is shown that each solution ot the initial value problem (2), (3) has a finite limit for , and an asymptotic formula for the nontrivial solution tending to 0 is given. Further, the existence of such a solutions is established by examining the number of zeros of two different solutions , .