THE WEIGHTED RIGHT FOCAL BOUNDARY VALUE PROBLEM FOR SECOND ORDER SINGULAR IN THE TIME VARIABLE FUNCTIONAL DIFFERENTIAL EQUATIONS

被引：0

作者：

Partsvania, N. ^{[1
,2
]}

机构：

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

[2] Int Black Sea Univ, 2 David Agmashenebeli Alley 13KM, GE-0131 Tbilisi, Georgia

来源：

TRANSACTIONS OF A RAZMADZE MATHEMATICAL INSTITUTE | 2019年 / 173卷 / 02期

关键词：

Right focal; Weighted; Singular; Boundary value problem; Functional differential equation;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Sufficient conditions are found for the solvability of the boundary value problem u ''(t) = f (t, u(tau(t))), lim(t -> a )u(t)/(t - a)(alpha) = 0, lim(t -> b) u'(t) = 0 in the case where the function f has singularities of arbitrary order in the time variable at the point t = a as well as at the points of the interval ]a, b].

引用

页码：157 / 160

页数：4

共 12 条

[1] Two-point boundary value problems for higher-order linear differential equations with strong singularities [J].

Agarwal, R. P. ;

Kiguradze, I. .

BOUNDARY VALUE PROBLEMS, 2006, 2006 (1)

[2]

[Anonymous], 2003, FUNCT DIFFER EQU

[3]

[Anonymous], 2000, MEM DIFFERENTIAL EQU

[4]

Azbelev N. V., 1996, IZV VYSSH UCHEBN ZAV, V2, P3

[5]

Kiguradze I., 2019, DIFFER URAVNENIYA, V55, P607

[6]

Kiguradze I., 2019, DIFFER URAVNENIYA, V55, P792

[7] Conditions for the well-posedness of nonlocal problems for second-order linear differential equations [J].

Kiguradze, I. T. ;

Kiguradze, T. I. .

DIFFERENTIAL EQUATIONS, 2011, 47 (10) :1414-1425

[8]

Kiguradze IT., 1988, J. Sov. Math, V43, P2340

[9] On solvability and unique solvability of two-point singular boundary value problems [J].

Kiguradze, Tariel .

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2009, 71 (3-4) :789-798

[10]

Mukhigulashvili S, 2013, MEM DIFFER EQU MATH, V58, P65

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