Boundary value problems for first-order mixed complex equations with degenerate curve

被引：0

作者：

Wen, Guo Chun ^{[1
]}

机构：

[1] Peking Univ, LMAM, Sch Math Sci, Beijing 100871, Peoples R China

来源：

APPLICABLE ANALYSIS | 2012年 / 91卷 / 03期

关键词：

boundary value problems; quasilinear mixed complex equations; degenerate hyperbolic curve; TRICOMI PROBLEM;

D O I：

10.1080/00036811.2010.549482

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This article deals with some boundary value problems for quasilinear mixed (elliptic-hyperbolic) complex equations of first order with degenerate hyperbolic curve in a simply connected domain. First, we give the representation theorem and prove the uniqueness of solutions for the above boundary value problems. Then using the method of successive iteration, the existence of solutions for the above problems is proved.

引用

页码：545 / 558

页数：14

共 50 条

[1] Boundary value problems to first-order complex partial differential equations in a ring domain
Vaitekhovich, T. S.
[J]. INTEGRAL TRANSFORMS AND SPECIAL FUNCTIONS, 2008, 19 (3-4) : 211 - 233
[2] Periodic boundary value problems for first-order integro-differential equations of mixed type
Fubao Z.
[J]. Applied Mathematics and Mechanics, 2000, 21 (3): : 363 - 370
[3] PERIODIC BOUNDARY VALUE PROBLEMS FOR FIRST-ORDER INTEGRO-DIFFERENTIAL EQUATIONS OF MIXED TYPE
张福保
[J]. Applied Mathematics and Mechanics(English Edition), 2000, (03) : 363 - 370
[4] Periodic boundary value problems for first-order integro-differential equations of mixed type
Zhang, FB
[J]. APPLIED MATHEMATICS AND MECHANICS-ENGLISH EDITION, 2000, 21 (03) : 363 - 370
[5] SOME BOUNDARY VALUE PROBLEMS FOR SECOND ORDER MIXED EQUATIONS WITH DEGENERATE LINES
Xu, Ke-Ming
Yang, Guang-Wu
Li, Sheng-Xun
[J]. BOUNDARY VALUE PROBLEMS, INTEGRAL EQUATIONS AND RELATED PROBLEMS, 2011, : 82 - 91
[6] Impulsive periodic boundary value problems of first-order differential equations
Li, Jianli
Nieto, Juan J.
Shen, Jianhua
[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2007, 325 (01) : 226 - 236
[7] Remarks on the periodic boundary value problems for first-order differential equations
Wan, Z
Chen, YB
Chen, J
[J]. COMPUTERS & MATHEMATICS WITH APPLICATIONS, 1999, 37 (08) : 49 - 55
[8] First-order functional difference equations with nonlinear boundary value problems
Jankowski, Tadeusz
[J]. COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2010, 59 (06) : 1937 - 1943
[9] 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
[10] Boundary-Value Problems for Second-Order Equations and for Systems of First-Order Equations
A. Yanushauskas
[J]. Acta Applicandae Mathematica, 1997, 46 : 169 - 223

← 1 2 3 4 5 →