FUNCTIONAL-DIFFERENTIAL EQUATIONS OF MIXED TYPE, VIA WEAKLY PICARD OPERATORS

被引：0

作者：

Marian, Olaru Ion ^{[1
]}

机构：

[1] Univ Lucian Blaga Sibiu, Dept Math, Sibiu, Romania

来源：

STUDIA UNIVERSITATIS BABES-BOLYAI MATHEMATICA | 2006年 / 51卷 / 02期

关键词：

Picard operators; weakly Picard operators; fixed points; equations of mixed type; data dependence;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper we apply the weakly Picard operators technique to study the following second order functional differential equations of mixed type -x ''(t) = f(t, x(t), integral(t)(t-h) x(s)ds, integral(t+h)(t) x(s)ds), t is an element of [a, b], h > 0.

引用

页码：83 / 95

页数：13

共 50 条

[21] ULAM STABILITY FOR HILFER TYPE FRACTIONAL DIFFERENTIAL INCLUSIONS VIA THE WEAKLY PICARD OPERATORS THEORY
Abbas, Said
Benchohra, Mouffak
Petrusel, Adrian
FRACTIONAL CALCULUS AND APPLIED ANALYSIS, 2017, 20 (02) : 384 - 398
[22] DATA DEPENDENCE FOR SOME INTEGRAL EQUATIONS VIA WEAKLY PICARD OPERATORS
Olaru, Ion Marian
STUDIA UNIVERSITATIS BABES-BOLYAI MATHEMATICA, 2005, 50 (03): : 99 - 105
[23] Ulam Stability for Hilfer Type Fractional Differential Inclusions Via the Weakly Picard Operators Theory
Saïd Abbas
Mouffak Benchohra
Adrian Petruşel
Fractional Calculus and Applied Analysis, 2017, 20 : 384 - 398
[24] A CLASS OF ABSTRACT VOLTERRA EQUATIONS, VIA WEAKLY PICARD OPERATORS TECHNIQUE
Serban, M. A.
Rus, I. A.
Petrusel, A.
MATHEMATICAL INEQUALITIES & APPLICATIONS, 2010, 13 (02): : 255 - 269
[25] Implicit functional differential equations with linear modification of the argument, via weakly Picard operator theory
Muresan, Anton S.
Muresan, Viorica
CARPATHIAN JOURNAL OF MATHEMATICS, 2021, 37 (02) : 227 - 234
[26] Some nonlinear functional differential and integral equations, via weakly Picard operator theory: a survey
Rus, Ian A.
CARPATHIAN JOURNAL OF MATHEMATICS, 2010, 26 (02) : 230 - 258
[27] OSCILLATORY SOLUTIONS OF FUNCTIONAL-DIFFERENTIAL EQUATIONS GENERATED BY DEVIATION OF ARGUMENTS OF MIXED TYPE
GRACE, SR
LALLI, BS
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1985, 108 (01) : 79 - 91
[28] DIFFERENTIAL-BOUNDARY OPERATORS AND ASSOCIATED NEUTRAL FUNCTIONAL-DIFFERENTIAL EQUATIONS
BURNS, JA
HERDMAN, TL
STECH, HW
ROCKY MOUNTAIN JOURNAL OF MATHEMATICS, 1983, 13 (01) : 125 - 142
[29] STABILITY OF FUNCTIONAL-DIFFERENTIAL EQUATIONS OF VOLTERRA TYPE
RAO, MRM
SRINIVAS, P
BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY, 1984, 29 (01) : 93 - 100
[30] CONTRIBUTION TO THE THEORY OF FUNCTIONAL-DIFFERENTIAL EQUATIONS WITH LOCALLY VOLTERRA OPERATORS
GUSARENKO, SA
ZHUKOVSKII, ES
MAXIMOV, VP
DOKLADY AKADEMII NAUK SSSR, 1986, 287 (02): : 268 - 272

← 1 2 3 4 5 →