ON THE ANTIPERIODIC PROBLEM FOR SYSTEMS OF NONLINEAR GENERALIZED ORDINARY DIFFERENTIAL EQUATIONS

被引：0

作者：

Ashordia, Malkhaz ^{[1
,2
]}

Akhalaia, Shota ^{[2
]}

Talakhadze, Mzia ^{[2
]}

机构：

[1] I Javakhishvili Tbilisi State Univ, A Razmadze Math Inst, 6 Tamarashvili St, GE-0177 Tbilisi, Georgia

[2] Sokhumi State Univ, 61 A Politkovskaia St, GE-0186 Tbilisi, Georgia

来源：

MEMOIRS ON DIFFERENTIAL EQUATIONS AND MATHEMATICAL PHYSICS | 2018年 / 73卷

基金：

美国国家科学基金会;

关键词：

Systems of nonlinear generalized ordinary differential equations; the Kurzweil-Stieltjes integral; antiperiodic problem; solvability; principle of a priori boundedness;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A general theorem (principle of a priori boundedness) on the solvability of the antiperiodic problem for systems of nonlinear generalized ordinary differential equations is given.

引用

页码：141 / 149

页数：9

共 50 条

[11] Antiperiodic boundary value problem for first-order impulsive ordinary differential equations
Luo, ZG
Shen, J
Nieto, JJ
COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2005, 49 (2-3) : 253 - 261
[12] THE INITIAL PROBLEM FOR LINEAR SYSTEMS OF GENERALIZED ORDINARY DIFFERENTIAL EQUATIONS, LINEAR IMPULSIVE AND ORDINARY DIFFERENTIAL SYSTEMS. NUMERICAL SOLVABILITY
Ashordia, Malkhaz
MEMOIRS ON DIFFERENTIAL EQUATIONS AND MATHEMATICAL PHYSICS, 2019, 78 : 1 - 160
[13] Calculation of eigenvalues in a nonlinear spectral problem for the Hamiltonian systems of ordinary differential equations
Computational Mathematics and Mathematical Physics, 2007, 47 (1) : 171 - 171
[14] On certain properties of a nonlinear eigenvalue problem for Hamiltonian systems of ordinary differential equations
Abramov A.A.
Ui'yanova V.I.
Yukhno L.F.
Computational Mathematics and Mathematical Physics, 2007, 47 (4) : 612 - 619
[15] On stability of nonlinear systems of ordinary differential equations
El-Sheikh, MMA
Soliman, AA
Abd Alla, MH
APPLIED MATHEMATICS AND COMPUTATION, 2000, 113 (2-3) : 175 - 198
[16] Some Antiperiodic Boundary Value Problem for Nonlinear Fractional Impulsive Differential Equations
Liu, Xianghu
Li, Yanfang
ABSTRACT AND APPLIED ANALYSIS, 2014,
[17] A BOUNDARY VALUE PROBLEM FOR NONLINEAR ORDINARY DIFFERENTIAL EQUATIONS
LEES, M
JOURNAL OF MATHEMATICS AND MECHANICS, 1961, 10 (03): : 423 - 430
[18] Well-posedness of the Cauchy-Nicoletti boundary value problem for systems of nonlinear generalized ordinary differential equations
Ashordiya, MT
DIFFERENTIAL EQUATIONS, 1995, 31 (03) : 352 - 362
[19] On the solvability of the modified Cauchy problem for linear systems of generalized ordinary differential equations with singularities
Ashordia, Malkhaz
Gabisonia, Inga
Talakhadze, Mzia
GEORGIAN MATHEMATICAL JOURNAL, 2021, 28 (01) : 29 - 47
[20] ON THE WELL-POSEDNESS OF THE CAUCHY PROBLEM FOR SYSTEMS OF LINEAR GENERALIZED ORDINARY DIFFERENTIAL EQUATIONS
Ashordia, Malkhaz
Kutsia, Malkhaz
Talakhadze, Mzia
MEMOIRS ON DIFFERENTIAL EQUATIONS AND MATHEMATICAL PHYSICS, 2019, 77 : 105 - 113

← 1 2 3 4 5 →