Systems-conjugate and focal points of fourth order nonselfadjoint differential equations

Author:

Cheng Sui Sun

Abstract

Systems-conjugate points have been studied by John Barrett in relation to selfadjoint fourth order differential equations of the form ( p 2 u ) + p 0 u = 0 ({p_2}u) + {p_0}u = 0 . This paper extends his results to the general nonselfadjoint fourth order differential equation via a system of second order equations.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Reference7 articles.

1. On Self-Adjoint Ordinary Differential Equations of the Fourth Order;Whyburn, William M.;Amer. J. Math.,1930

2. A nonselfadjoint dynamical system;Kreith, Kurt;Proc. Edinburgh Math. Soc. (2),1974

3. Systems-disconjugacy of a fourth-order differential equations;Barrett, John H.;Proc. Amer. Math. Soc.,1961

4. On Separation, Comparison and Oscillation Theorems for Self-Adjoint Systems of Linear Second Order Differential Equations;Bliss, G. A.;Amer. J. Math.,1931

5. On disconjugate differential systems;Hartman, Philip;Canadian J. Math.,1956

Cited by 5 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. Conjugate and focal points of nonlinear equations;Nonlinear Analysis: Theory, Methods & Applications;1981-01

2. Sturmian theory for a class of nonselfadjoint differential systems;Annali di Matematica Pura ed Applicata;1980-12

3. Higher order Wirtinger inequalities;Proceedings of the Royal Society of Edinburgh: Section A Mathematics;1980

4. VARIATIONAL SYSTEMS DISCONJUGACY CRITERIA FOR WNSELFADJOINT DIFFERENTIAL EQUATIONS;Quaestiones Mathematicae;1978-01

5. Positive solutions and conjugate points for systems of differential equations;Nonlinear Analysis: Theory, Methods & Applications;1978-01

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