Electron. J. Differential Equations, Vol. 2016 (2016), No. 246, pp. 1-11.

Systems-disconjugacy of a fourth-order differential equation with a middle term

Jamel Ben Amara

Abstract:
Systems-conjugate points were introduced and studied by Barrett [3] in relation with the self-adjoint fourth order differential equation
$$
 (r(x)y'')''-(q(x)y')'= p(x)y,
 $$
where r(x)>0, p(x)>0 and q=0. In this paper we extend some of his results to more general cases, when q(x) is free of sign restrictions.

Submitted July 28, 2016. Published September 12, 2016.
Math Subject Classifications: 47E05, 34B05, 34C10.
Key Words: Fourth-order boundary value problems; system-conjugate points; subwronskians; comparison theorems.

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Jamel Ben Amara
University of Tunis El Manar
Faculty of Sciences of Tunis, Tunisia
email: jamel_benamara@yahoo.fr

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