Conjugate points of fourth order differential equations with impulses. (English) Zbl 0723.34027

Kreith, Kurt

Differ. Integral Equ. 1, No. 4, 391-398 (1988).

Summary: Selfadjoint fourth order differential equations of the form \((p_ 2(t)y'')''-(p_ 1(t)y')'+p_ 0(t)y=0\) are considered in a general context which allows for distributional terms in the coefficients. Criteria are established for the existence and non-existence of conjugate points for such equations.

MSC:

34C10	Oscillation theory, zeros, disconjugacy and comparison theory for ordinary differential equations
34A30	Linear ordinary differential equations and systems
34A37	Ordinary differential equations with impulses

Keywords:

Selfadjoint fourth order differential equations; distributional terms in the coefficients; conjugate points