Eigenvalues of higher order Sturm-Liouville boundary value problems with derivatives in nonlinear terms
نویسندگان
چکیده
منابع مشابه
Positive solutions of higher-order Sturm-Liouville boundary value problems with derivative-dependent nonlinear terms
wherem≥ 3 and 1≤ q≤m – 2. We note that the nonlinear term F involves derivatives. This makes the problem challenging, and such cases are seldom investigated in the literature. In this paper we develop a new technique to obtain existence criteria for one or multiple positive solutions of the boundary value problem. Several examples with known positive solutions are presented to dwell upon the us...
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In this lecture we abstract the eigenvalue problems that we have found so useful thus far for solving the PDEs to a general class of boundary value problems that share a common set of properties. The so-called Sturm-Liouville Problems define a class of eigenvalue problems, which include many of the previous problems as special cases. The S − L Problem helps to identify those assumptions that ar...
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ژورنال
عنوان ژورنال: Boundary Value Problems
سال: 2015
ISSN: 1687-2770
DOI: 10.1186/s13661-014-0227-y