ON THE UNIQUENESS OF THE CAUCHY PROBLEM FOR SINGULAR FUNCTIONAL DIFFERENTIAL EQUATIONS

被引：0

作者：

Sokhadze, Zaza ^{[1
]}

机构：

[1] Akaki Tsereteli State Univ, 59 Tamar Mepe Str, Kutaisi 4600, Georgia

来源：

TRANSACTIONS OF A RAZMADZE MATHEMATICAL INSTITUTE | 2023年 / 177卷 / 01期

关键词：

Functional differential equation; Volterra operator; Local unique solvability;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The Cauchy problem for singular functional differential equations is considered. The sufficient conditions of the unique solvability are established.

引用

页码：157 / 160

页数：4

共 50 条

[1] Qualitative investigation of a singular Cauchy problem for a functional differential equation
Zernov A.E.
Chaichuk O.R.
Ukrainian Mathematical Journal, 2005, 57 (10) : 1571 - 1589
[2] On solvability of the Cauchy problem for one quasilinear singular functional-differential equation
Plaksina V.P.
Plaksina I.M.
Plekhova E.V.
Russian Mathematics, 2016, 60 (2) : 46 - 51
[3] The weighted Cauchy problem for linear functional differential equations with strong singularities
Sokhadze, Zaza
GEORGIAN MATHEMATICAL JOURNAL, 2011, 18 (03) : 577 - 586
[4] ON THE SOLVABILITY OF THE CAUCHY PROBLEM FOR SYSTEMS OF TWO LINEAR FUNCTIONAL DIFFERENTIAL EQUATIONS
Bravyi, E. I.
MEMOIRS ON DIFFERENTIAL EQUATIONS AND MATHEMATICAL PHYSICS, 2007, 41 : 11 - 26
[5] GENERAL CONDITIONS GUARANTEEING THE SOLVABILITY OF THE CAUCHY PROBLEM FOR FUNCTIONAL DIFFERENTIAL EQUATIONS
Dilna, N.
Ronto, A.
MATHEMATICA BOHEMICA, 2008, 133 (04): : 435 - 445
[6] ON THE CAUCHY NICOLETTI WEIGHTED PROBLEM FOR HIGHER ORDER NONLINEAR FUNCTIONAL DIFFERENTIAL EQUATIONS
Sokhadze, Zaza
MEMOIRS ON DIFFERENTIAL EQUATIONS AND MATHEMATICAL PHYSICS, 2012, 56 : 143 - 146
[7] CONTROLLABILITY FOR SEMILINEAR FUNCTIONAL DIFFERENTIAL EQUATIONS WITHOUT UNIQUENESS
Tran Dinh Ke
ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2014,
[8] On Positivity Conditions for the Cauchy Function of Functional-Differential Equations
Zhukovskii, E. S.
Tahir, K. M. T.
RUSSIAN MATHEMATICS, 2018, 62 (11) : 67 - 71
[9] Existence and uniqueness of positive periodic solutions of functional differential equations
Liu, XL
Li, WT
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2004, 293 (01) : 28 - 39
[10] Uniqueness and existence of positive periodic solutions of functional differential equations
Xu, Jiaqi
Xue, Chunyan
AIMS MATHEMATICS, 2022, 8 (01): : 676 - 690

← 1 2 3 4 5 →