A boundary value problem for higher-order semilinear partial differential equations

被引:5
作者
Kharibegashvili, S. [1 ,2 ]
Midodashvili, B. [3 ,4 ]
机构
[1] I Javakhishvili Tbilisi State Univ, A Razmadze Math Inst, Tbilisi, Georgia
[2] Georgian Tech Univ, Dept Math, Tbilisi, Georgia
[3] I Javakhishvili Tbilisi State Univ, Fac Exact & Nat Sci, Tbilisi, Georgia
[4] Gori State Teaching Univ, Fac Educ Exact & Nat Sci, Gori, Georgia
关键词
Semilinear higher-order equations; hypoelliptic operators; existence; uniqueness and nonexistence of solutions; GLOBAL-SOLUTIONS; NONEXISTENCE; EXISTENCE;
D O I
10.1080/17476933.2018.1508286
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
One boundary value problem for a class of higher-order semilinear partial differential equations is considered. Theorems on existence, uniqueness and nonexistence of solutions of this problem are proved.
引用
收藏
页码:766 / 776
页数:11
相关论文
共 50 条
[41]   On the solvability of the boundary value problem for one class of nonlinear systems of high-order partial differential equations [J].
Kharibegashvili, S. S. ;
Midodashvili, B. G. .
SBORNIK MATHEMATICS, 2024, 215 (06) :841-860
[42]   NONTRIVIAL SOLUTIONS TO BOUNDARY VALUE PROBLEMS FOR SEMILINEAR Δγ-DIFFERENTIAL EQUATIONS [J].
Luyen, Duong Trong .
APPLICATIONS OF MATHEMATICS, 2021, 66 (04) :461-478
[43]   BVPs for higher-order integro-differential equations with φ-Laplacian and functional boundary conditions [J].
Guo, Xiufeng ;
Lu, Liang ;
Liu, Zexian .
ADVANCES IN DIFFERENCE EQUATIONS, 2014,
[44]   On the Conditions for the Solvability of Boundary-Value Problems for Higher-Order Equations with Discontinuous Coefficients [J].
B. Yu. Irgashev .
Mathematical Notes, 2022, 111 :217-229
[45]   On the Conditions for the Solvability of Boundary-Value Problems for Higher-Order Equations with Discontinuous Coefficients [J].
Irgashev, B. Yu .
MATHEMATICAL NOTES, 2022, 111 (1-2) :217-229
[46]   Semilinear hyperbolic boundary value problem for linear elasticity equations [J].
Rahmoune, A. ;
Benabderrahmane, B. .
APPLIED MATHEMATICS & INFORMATION SCIENCES, 2013, 7 (04) :1421-1428
[47]   On a Boundary Value Problem For a Fifth Order Partial Integro-Differential Equation [J].
Yuldashev, T. K. .
AZERBAIJAN JOURNAL OF MATHEMATICS, 2022, 12 (02) :154-172
[48]   Solvability of a Higher-Order Three-Point Boundary Value Problem on Time Scales [J].
Sang, Yanbin .
ABSTRACT AND APPLIED ANALYSIS, 2009,
[49]   Some applications of dominated convergence theorems to a higher-order singular boundary value problem [J].
Yao, Qingliu .
JOURNAL OF APPLIED ANALYSIS, 2010, 16 (01) :15-30
[50]   ON THE SOLVABILITY OF THE BOUNDARY VALUE PROBLEM FOR ONE CLASS OF HIGHER-ORDER NONLINEAR HYPERBOLIC SYSTEMS [J].
Bibilashvili, Teona ;
Kharibegashvili, Sergo .
TRANSACTIONS OF A RAZMADZE MATHEMATICAL INSTITUTE, 2024, 178 (02) :317-319