ON SOLVABILITY CONDITIONS FOR THE CAUCHY PROBLEM FOR SECOND ORDER FUNCTIONAL DIFFERENTIAL EQUATIONS WITH NON-VOLTERRA OPERATORS AND COMPOSITE POINTWISE RESTRICTIONS

被引：0

作者：

Bravyi, Eugene ^{[1
]}

机构：

[1] Perm Natl Res Polytech Univ, 29 Komsomolsky Prospekt, Perm 614990, Russia

来源：

MEMOIRS ON DIFFERENTIAL EQUATIONS AND MATHEMATICAL PHYSICS | 2022年 / 87卷

关键词：

Cauchy boundary value problem; functional differential equations; solvability conditions;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The Cauchy boundary value problem for the second order linear functional differential equations with non-Volterra operators is considered. Unimprovable sufficient solvability conditions are obtained for various composite pointwise restrictions on functional operators.

引用

页码：37 / 52

页数：16

共 50 条

[1] On Solvability Conditions for the Cauchy Problem for Non-Volterra Functional Differential Equations with Pointwise and Integral Restrictions on Functional Operators
Bravyi, Eugene
[J]. MATHEMATICS, 2023, 11 (24)
[2] On Cauchy problem for first order nonlinear functional differential equations of non-Volterra's type
Bravyi, E
Hakl, R
Lomtatidze, A
[J]. CZECHOSLOVAK MATHEMATICAL JOURNAL, 2002, 52 (04) : 673 - 690
[3] On Cauchy Problem for First Order Nonlinear Functional Differential Equations of Non-Volterra's Type
E. Bravyi
R. Hakl
A. Lomtatidze
[J]. Czechoslovak Mathematical Journal, 2002, 52 : 673 - 690
[4] CONDITIONS FOR THE SOLVABILITY OF THE CAUCHY PROBLEM FOR LINEAR FIRST-ORDER FUNCTIONAL DIFFERENTIAL EQUATIONS
Bravyi, E. I.
[J]. ELECTRONIC JOURNAL OF QUALITATIVE THEORY OF DIFFERENTIAL EQUATIONS, 2013, (66)
[5] Optimal conditions for unique solvability of the Cauchy problem for first order linear functional differential equations
Bravyi, E
Hakl, R
Lomtatidze, A
[J]. CZECHOSLOVAK MATHEMATICAL JOURNAL, 2002, 52 (03) : 513 - 530
[6] Optimal conditions for unique solvability of the Cauchy problem for first order linear functional differential equations
E. Bravyi
R. Hakl
A. Lomtatidze
[J]. Czechoslovak Mathematical Journal, 2002, 52 : 513 - 530
[7] GENERAL CONDITIONS GUARANTEEING THE SOLVABILITY OF THE CAUCHY PROBLEM FOR FUNCTIONAL DIFFERENTIAL EQUATIONS
Dilna, N.
Ronto, A.
[J]. MATHEMATICA BOHEMICA, 2008, 133 (04): : 435 - 445
[8] Solvability of the Cauchy problem for higher-order linear functional differential equations
Bravyi, E. I.
[J]. DIFFERENTIAL EQUATIONS, 2012, 48 (04) : 465 - 476
[9] Solvability of the Cauchy problem for higher-order linear functional differential equations
E. I. Bravyi
[J]. Differential Equations, 2012, 48 : 465 - 476
[10] SOLVABILITY CONDITIONS OF THE CAUCHY PROBLEM FOR TWO-DIMENSIONAL SYSTEMS OF LINEAR FUNCTIONAL DIFFERENTIAL EQUATIONS WITH MONOTONE OPERATORS
Sremr, Jiri
[J]. MATHEMATICA BOHEMICA, 2007, 132 (03): : 263 - 295

← 1 2 3 4 5 →