Fourth Order Boundary Value Problems and Comparison Theorems
- 1 January 1961
- journal article
- Published by Canadian Mathematical Society in Canadian Journal of Mathematics
- Vol. 13, 625-638
- https://doi.org/10.4153/cjm-1961-051-x
Abstract
This paper is primarily concerned with the existence of solutions of the fourth-order self-adjoint differential equation (1) (where r(x) > 0, q(x) ≥ 0, p(x) ≥ 0 and all three coefficients are continuous on [a, ∞)) and one of the two-point boundary conditions: (2) or (3) the subscript notation for any solution y(x) denoting: (4)Keywords
This publication has 4 references indexed in Scilit:
- On the oscillation of solutions of self-adjoint linear differential equations of the fourth orderTransactions of the American Mathematical Society, 1958
- A Two-Point Boundary Problem for Ordinary Self-Adjoint Differential Equations of Fourth OrderCanadian Journal of Mathematics, 1954
- Variational methods and non-oscillation theorems for systems of differential equationsDuke Mathematical Journal, 1952
- A Matrix Differential Equation of Riccati TypeAmerican Journal of Mathematics, 1946