# Positive coefficients case and oscillation

Discussiones Mathematicae, Differential Inclusions, Control and Optimization (1998)

- Volume: 18, Issue: 1-2, page 5-17
- ISSN: 1509-9407

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topJán Ohriska. "Positive coefficients case and oscillation." Discussiones Mathematicae, Differential Inclusions, Control and Optimization 18.1-2 (1998): 5-17. <http://eudml.org/doc/275896>.

@article{JánOhriska1998,

abstract = {We consider the second order self-adjoint differential equation
(1) (r(t)y’(t))’ + p(t)y(t) = 0
on an interval I, where r, p are continuous functions and r is positive on I. The aim of this paper is to show one possibility to write equation (1) in the same form but with positive coefficients, say r₁, p₁ and to derive a sufficient condition for equation (1) to be oscillatory in the case p is nonnegative and $∫^∞ [1/r(t)]dt$ converges.},

author = {Ján Ohriska},

journal = {Discussiones Mathematicae, Differential Inclusions, Control and Optimization},

keywords = {oscillation theory; positive coefficients; selfadjoint equation},

language = {eng},

number = {1-2},

pages = {5-17},

title = {Positive coefficients case and oscillation},

url = {http://eudml.org/doc/275896},

volume = {18},

year = {1998},

}

TY - JOUR

AU - Ján Ohriska

TI - Positive coefficients case and oscillation

JO - Discussiones Mathematicae, Differential Inclusions, Control and Optimization

PY - 1998

VL - 18

IS - 1-2

SP - 5

EP - 17

AB - We consider the second order self-adjoint differential equation
(1) (r(t)y’(t))’ + p(t)y(t) = 0
on an interval I, where r, p are continuous functions and r is positive on I. The aim of this paper is to show one possibility to write equation (1) in the same form but with positive coefficients, say r₁, p₁ and to derive a sufficient condition for equation (1) to be oscillatory in the case p is nonnegative and $∫^∞ [1/r(t)]dt$ converges.

LA - eng

KW - oscillation theory; positive coefficients; selfadjoint equation

UR - http://eudml.org/doc/275896

ER -

## References

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