Two-point boundary value problems for strongly singularhigher-order linear differential equations with deviating arguments

Electronic Journal of Qualitative Theory of Differential Equations

Nino Partsvania¹  Sulkhan Mukhigulashvili² 

[1] A. Razmadze Mathematical Institute, Tbilisi, Georgia;Academy of Sciences of the Czech Republic, Brno, Czech Republic;

关键词: higher order differential equation;    linear;    deviating argument;    strong singularity;    fredholm's property;   

DOI  :  10.14232/ejqtde.2012.1.38

来源: DOAJ

【 摘 要 】

For strongly singular higher-orderdifferential equations with deviating arguments, undertwo-point conjugated and right-focal boundary conditions, Agarwal-Kiguradze type theorems are established, which guarantee the presence ofFredholm's property for the above mentioned problems.Also we provide easily verifiable best possible conditions that guarantee the existence of a unique solution of the studied problems.

【 授权许可】

Unknown