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S. Rutkauskas 《Lithuanian Mathematical Journal》2001,41(3):282-291
We consider Dirichlet–type problems for weakly connected systems of elliptic equations of second order with a strong degeneracy at an inner point of the domain, when, in a neighborhood of this point, the asymptotics of a solution is additionally given. The form of the given asymptotics essentially depends on the properties of the coefficients at the first–order derivatives. We prove the existence and uniqueness of solutions of the problems considered in Hölder function classes. 相似文献
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We consider a Dirichlettype problem for a system of elliptic equations of second order with a strong degeneracy at an inner point of the domain, when, in a neighborhood of this point, the principal term of the asymptotics of a solution is additionally given. We prove the existence and uniqueness of a solution of the problem considered in a weighted class of Hölder vector functions. 相似文献
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Treatment of p-phenylenediamine with maleic acid and its diethyl ester gave di- and tetracarboxylic amino acids and their esters. A benzene derivative having an -alanine and an aspartic acid residue has been prepared. The cyclization of aminocarboxylic acids to imidazole and pyrimidine derivatives has been carried out. 相似文献
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S. Rutkauskas 《Lithuanian Mathematical Journal》2009,49(1):109-121
We consider a linear second-order differential equation with irregularly singular point at the beginning of the interval.
For the corresponding homogeneous differential equation, we obtain the asymptotics of the solutions and their derivatives
near the singular point. Using some modified Green functions and taking into account the asymptotics, we consider three boundary
value problems with various boundary conditions (including a weighted one) at the singular point, proving theorems on the
existence and uniqueness of the solutions and giving their structure.
Lithuanian Mathematical Journal, Vol. 49, No. 1, 2009, pp. 109–121 相似文献
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