Conditions for the well-posedness of nonlocal problems for second-order linear differential equations

被引：0

作者：

I. T. Kiguradze

T. I. Kiguradze

机构：

[1] Tbilisi State University,Razmadze Mathematical Institute

[2] Florida University of Technology,undefined

来源：

Differential Equations | 2011年 / 47卷

关键词：

Nontrivial Solution; Trivial Solution; Unique Solvability; Nonlocal Boundary; Liouville Operator;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

For second-order linear differential equations, we obtain sharp sufficient conditions for the well-posedness of nonlocal problems with functional and multipoint boundary conditions.

引用

页码：1414 / 1425

页数：11

共 50 条

[31] A Characterization of Uniform Well Posedness for Degenerate Second-Order Abstract Differential Equations
Aparicio, Rafael
Keyantuo, Valentin
Lizama, Carlos
RESULTS IN MATHEMATICS, 2023, 78 (05)
[32] Nonlocal boundary value problems for second-order functional differential equations
Rodriguez-Lopez, Rosana
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2011, 74 (18) : 7226 - 7239
[33] Well-posedness of second order degenerate differential equations in Holder continuous function spaces
Bu, Shangquan
Cai, Gang
EXPOSITIONES MATHEMATICAE, 2016, 34 (02) : 223 - 236
[34] Remarks on well-posedness theorems for damped second-order systems
Banks, HT
APPLIED MATHEMATICS LETTERS, 1999, 12 (06) : 21 - 24
[35] An Existence Result for Second-Order Impulsive Differential Equations with Nonlocal Conditions
Li, Meili
Liu, Haiqiang
DISCRETE DYNAMICS IN NATURE AND SOCIETY, 2010, 2010
[36] Nonclassical problems with nonlocal initial conditions for second-order evolution equations
Avalishvili, G.
Avalishvili, M.
Miara, B.
ASYMPTOTIC ANALYSIS, 2012, 76 (3-4) : 171 - 192
[37] WELL-POSEDNESS OF BOUNDARY-VALUE PROBLEMS FOR PARTIAL DIFFERENTIAL EQUATIONS OF EVEN ORDER
Amanov, Djumaklych
Ashyralyev, Allaberen
ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2014,
[38] LOCAL WELL-POSEDNESS OF NONLOCAL BURGERS EQUATIONS
Benzoni-Gavage, Sylvie
DIFFERENTIAL AND INTEGRAL EQUATIONS, 2009, 22 (3-4) : 303 - 320
[39] Well-Posedness in Sobolev Spaces for Second-Order Strictly Hyperbolic Equations with Nondifferentiable Oscillating Coefficients
Fumihiko Hirosawa
Michael Reissig
Annals of Global Analysis and Geometry, 2004, 25 : 99 - 119
[40] Final Value Problems for Parabolic Differential Equations and Their Well-Posedness
Christensen, Ann-Eva
Johnsen, Jon
AXIOMS, 2018, 7 (02):

← 1 2 3 4 5 →