Boundary-Value Problems for Second-Order Equations and for Systems of First-Order Equations

被引：0

作者：

A. Yanushauskas

机构：

[1] Institute of Mathematics and Informatics,

来源：

Acta Applicandae Mathematica | 1997年 / 46卷

关键词：

boundary-value problem; Cauchy–Riemann system; harmonic functions; Shapiro–Lopatinsky condition;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

The oblique derivative problem for harmonic functions under violation of the Shapiro–Lopatinsky condition is considered as well as some multi-dimensional analogues of the Cauchy–Riemann system. These problems are reduced to nonelliptic pseudo-differential equations. A method generalizing the regularization of singular integral equations is also presented.

引用

页码：169 / 223

页数：54

共 50 条

[1] Boundary-value problems for second-order equations and for systems of first-order equations
Yanushauskas, A
[J]. ACTA APPLICANDAE MATHEMATICAE, 1997, 46 (02) : 169 - 223
[2] PERIODIC BOUNDARY-VALUE PROBLEMS FOR SYSTEMS OF SECOND-ORDER DIFFERENTIAL EQUATIONS
BEBERNES, JW
SCHMITT, K
[J]. JOURNAL OF DIFFERENTIAL EQUATIONS, 1973, 13 (01) : 32 - 47
[3] BOUNDARY-VALUE PROBLEMS FOR SECOND-ORDER ORDINARY DIFFERENTIAL EQUATIONS
SCHRADER, KW
[J]. JOURNAL OF DIFFERENTIAL EQUATIONS, 1967, 3 (03) : 403 - &
[4] NONLINEAR BOUNDARY-VALUE PROBLEMS FOR SECOND-ORDER DIFFERENTIAL EQUATIONS
PAVEL, NH
[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1975, 50 (02) : 373 - 383
[5] BOUNDARY-VALUE PROBLEMS FOR NONLINEAR SECOND-ORDER VECTOR DIFFERENTIAL EQUATIONS
MAWHIN, J
[J]. JOURNAL OF DIFFERENTIAL EQUATIONS, 1974, 16 (02) : 257 - 269
[6] Nonnegative solutions to nonlocal boundary value problems for systems of second-order differential equations dependent on the first-order derivatives
Jankowski, Tadeusz
[J]. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2013, 87 : 83 - 101
[7] DIFFERENCE EQUATIONS ASSOCIATED WITH BOUNDARY-VALUE PROBLEMS FOR SECOND-ORDER NONLINEAR ORDINARY DIFFERENTIAL EQUATIONS
GAINES, R
[J]. SIAM JOURNAL ON NUMERICAL ANALYSIS, 1974, 11 (02) : 411 - 434
[8] POSITIVE SOLUTIONS FOR A SYSTEM OF SECOND-ORDER BOUNDARY-VALUE PROBLEMS INVOLVING FIRST-ORDER DERIVATIVES
Wang, Kun
Yang, Zhilin
[J]. ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2012,
[9] BOUNDARY-VALUE PROBLEMS FOR SECOND-ORDER, ORDINARY DIFFERENTIAL EQUATIONS INVOLVING A PARAMETER
HARTMAN, P
[J]. JOURNAL OF DIFFERENTIAL EQUATIONS, 1972, 12 (01) : 194 - &
[10] Mixed boundary-value problems for singular second-order ordinary differential equations
Yakovlev M.N.
[J]. Journal of Mathematical Sciences, 2007, 141 (6) : 1710 - 1722

← 1 2 3 4 5 →