Solvability of the First Boundary-Value Problem for the Heat-Conduction Equation with Nonlinear Sources and Strong Power Singularities

被引：0

作者：

Chmyr, O. Yu. ^{[1
]}

机构：

[1] Lviv State Univ Safety Vital Act, Lvov, Ukraine

来源：

UKRAINIAN MATHEMATICAL JOURNAL | 2014年 / 65卷 / 10期

关键词：

EXPONENTS;

D O I：

10.1007/s11253-014-0877-z

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

By using the Schauder principle and the principle of contracting mappings, we study the character of point power singularities for the solution of the generalized first boundary-value problem for the heat-conduction equation with nonlinear boundary conditions. We establish sufficient conditions for the solvability of the analyzed problem.

引用

页码：1542 / 1565

页数：24

共 50 条

[41] On the invariance of a boundary-value problem for a nonlinear evolution equation
Netesova A.M.
Ukrainian Mathematical Journal, 1998, 50 (9) : 1464 - 1467
[42] BOUNDARY-VALUE PROBLEM FOR NONLINEAR SCHRODINGER-EQUATION
BIBIKOV, PN
TARASOV, VO
THEORETICAL AND MATHEMATICAL PHYSICS, 1989, 79 (03) : 570 - 579
[43] Solution of the Boundary-Value Problem of Heat Conduction with Periodic Boundary Conditions
Kanca, F.
Baglan, I.
UKRAINIAN MATHEMATICAL JOURNAL, 2020, 72 (02) : 232 - 245
[44] THE ASYMPTOTICS OF THE HEAT-EQUATION FOR A BOUNDARY-VALUE PROBLEM
SMITH, L
INVENTIONES MATHEMATICAE, 1981, 63 (03) : 467 - 493
[45] ASYMPTOTIC STABILITY OF INVARIANT SOLUTIONS OF NONLINEAR HEAT-CONDUCTION EQUATION WITH SOURCES
GALAKTIONOV, VA
KURDYUMOV, SP
SAMARSKII, AA
DIFFERENTIAL EQUATIONS, 1984, 20 (04) : 461 - 476
[46] The Solvability of First Type Boundary Value Problem for a Schrodinger Equation
Aksoy, Nigar Yildirim
APPLIED MATHEMATICS AND NONLINEAR SCIENCES, 2020, 5 (01) : 211 - 220
[47] Fundamental Solutions to Robin Boundary-Value Problems for the Time-Fractional Heat-Conduction Equation in a Half Line
Povstenko Y.Z.
Journal of Mathematical Sciences, 2013, 194 (3) : 322 - 329
[48] GREEN'S FUNCTION METHOD IN THE SOLUTION OF BOUNDARY-VALUE PROBLEMS FOR A GENERALIZED TYPE OF HEAT-CONDUCTION EQUATION.
Kartashov, E.M.
1600, (17):
[49] On the solvability of the first nonlocal boundary value problem for an elliptic equation
A. K. Ratyni
Differential Equations, 2009, 45 : 862 - 872
[50] On the Solvability of the First Nonlocal Boundary Value Problem for an Elliptic Equation
Ratyni, A. K.
DIFFERENTIAL EQUATIONS, 2009, 45 (06) : 862 - 872

← 1 2 3 4 5 →