On systems of semilinear hyperbolic functional equations

被引：0

作者：

Simon, Laszlo ^{[1
]}

机构：

[1] L Eotvos Univ Budapest, Inst Math, Budapest, Hungary

来源：

STUDIA UNIVERSITATIS BABES-BOLYAI MATHEMATICA | 2014年 / 59卷 / 04期

关键词：

Semilinear hyperbolic equations; functional partial differential equations; second order hyperbolic systems; qualitative properties of solutions;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We consider a system of second order semilinear hyperbolic functional differential equations where the lower order terms contain functional dependence on the unknown function. Existence of solutions for t is an element of(0, T) and t is an element of(0, infinity), further, examples and some qualitative properties of the solutions in (0, infinity) are shown.

引用

页码：479 / 495

页数：17

共 50 条

[31] On the determination of nonlinear terms appearing in semilinear hyperbolic equations
Kian, Yavar
JOURNAL OF THE LONDON MATHEMATICAL SOCIETY-SECOND SERIES, 2021, 104 (02): : 572 - 595
[32] Propagation of singularities for semilinear weakly hyperbolic differential equations
Dreher, M
PROCEEDINGS OF THE SECOND ISAAC CONGRESS, VOLS 1 AND 2, 2000, 7 : 1335 - 1344
[33] Regularity for Semilinear Neutral Hyperbolic Equations with Cosine Families
Cho, Seong-Ho
Jeong, Jin-Mun
MATHEMATICS, 2020, 8 (07)
[34] Optimality Conditions for Semilinear Hyperbolic Equations with Controls in Coefficients
Li, Bo
Lou, Hongwei
APPLIED MATHEMATICS AND OPTIMIZATION, 2012, 65 (03): : 371 - 402
[35] INERTIAL MANIFOLDS FOR THE HYPERBOLIC RELAXATION OF SEMILINEAR PARABOLIC EQUATIONS
Chepyzhov, Vladimir V.
Kostianko, Anna
Zelik, Sergey
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B, 2019, 24 (03): : 1115 - 1142
[36] Almost automorphic solutions for hyperbolic semilinear evolution equations
Boulite, S
Maniar, L
N'Guérékata, GM
SEMIGROUP FORUM, 2005, 71 (02) : 231 - 240
[37] ON THE CONVERGENCE OF SPECTRAL METHODS FOR SEMILINEAR HYPERBOLIC-EQUATIONS
LAYTON, W
NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION, 1984, 7 (04) : 303 - 310
[38] On family of potential wells and applications to semilinear hyperbolic equations and parabolic equations
Chen, Tianlong
Chen, Yuxuan
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2020, 198
[39] GROUP PROPERTIES OF A CLASS OF SEMILINEAR HYPERBOLIC-EQUATIONS
PUCCI, E
SALVATORI, MC
INTERNATIONAL JOURNAL OF NON-LINEAR MECHANICS, 1986, 21 (02) : 147 - 155
[40] Optimality Conditions for Semilinear Hyperbolic Equations with Controls in Coefficients
Bo Li
Hongwei Lou
Applied Mathematics & Optimization, 2012, 65 : 371 - 402

← 1 2 3 4 5 →