On one two-point BVP for the fourth order linear ordinary differential equation

0475575 - MÚ 2018 RIV GE eng J - Journal Article
Mukhigulashvili, Sulkhan - Manjikashvili, M.
On one two-point BVP for the fourth order linear ordinary differential equation.
Georgian Mathematical Journal. Roč. 24, č. 2 (2017), s. 265-275. ISSN 1072-947X. E-ISSN 1572-9176
Institutional support: RVO:67985840
Keywords : fourth order linear ordinary differential equations * two-point boundary value problems
OECD category: Applied mathematics
Impact factor: 0.482, year: 2017
https://www.degruyter.com/view/j/gmj.2017.24.issue-2/gmj-2016-0077/gmj-2016-0077.xml

In this article we consider the two-point boundary value problem { u((4))(t) = p(t)u(t) + h(t) for a <= t <= b, u(i)(a) = c(1i), u((i))(b) = c(2i) (i = 0, 1), where c(1i), c(2i) is an element of R, h, p is an element of L([a, b]: R). Here we study the question of dimension of the space of nonzero solutions and oscillatory behaviors of nonzero solutions on the interval [a, b] for the corresponding homogeneous problem, and establish efficient sufficient conditions of solvability for the nonhomogeneous problem.
Permanent Link: http://hdl.handle.net/11104/0272257