On the existence and the uniqueness of solutions and on the convergence of successive approximations in the Darboux problem for certain differential equations of the type
Vladimír Ďurikovič (1970)
Časopis pro pěstování matematiky
Similarity:
Vladimír Ďurikovič (1970)
Časopis pro pěstování matematiky
Similarity:
Jan Vlček (1965)
Acta Universitatis Carolinae. Mathematica et Physica
Similarity:
Jiří Jarník (1961)
Časopis pro pěstování matematiky
Similarity:
Ivan Hlaváček (1989)
Aplikace matematiky
Similarity:
Inequalities of Korn's type involve a positive constant, which depends on the domain, in general. A question arises, whether the constants possess a positive infimum, if a class of bounded two-dimensional domains with Lipschitz boundary is considered. The proof of a positive answer to this question is shown for several types of boundary conditions and for two classes of domains.