The method of solution of the boundary value problem applied to a certain fourth order differential equation. (English) Zbl 0699.34018

This paper surveys and also gives new results on the existence of the solution to multi-point boundary value problem associated to the second order linear equation, with parameters \[ y''(t)+[q(t,k,m)+r(t)]y(t)=0. \] The author also discusses a fourth order linear differential equation, existence of conjugate points, oscillatory solutions.
Reviewer: D.Tiba


34B10 Nonlocal and multipoint boundary value problems for ordinary differential equations
34A30 Linear ordinary differential equations and systems
34C10 Oscillation theory, zeros, disconjugacy and comparison theory for ordinary differential equations
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