Existence results for a mixed boundary value problem

被引：0
|
作者：
Hadjian, Armin [1 ]
Tersian, Stepan [2 ]
机构：
[1] Univ Bojnord, Fac Basic Sci, Dept Math, Bojnord 94531, Iran
[2] Univ Ruse, Dept Math, Ruse 7017, Bulgaria
来源：
ELECTRONIC JOURNAL OF QUALITATIVE THEORY OF DIFFERENTIAL EQUATIONS | 2015年 / 78期
关键词：
mixed boundary value problems; existence results; critical points theory; THEOREM;
D O I：
10.14232/ejqtde.2015.1.78
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In the present paper, we obtain an existence result for a class of mixed boundary value problems for second-order differential equations. A critical point theorem is used, in order to prove the existence of a precise open interval of positive eigenvalues lambda, for which the considered problem admits at least one non-trivial classical solution u(lambda). It is proved that the norm of u(lambda) tends to zero as lambda -> 0.
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页码：1 / 15
页数：15
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