Concepedia

8.—On Second-order Differential Inequalities

F. V. Atkinson

Proceedings of the Royal Society of Edinburgh Section A Mathematics · 1974 · 29 citations · 10 references

DOI

Concepts

Abstract

Synopsis This paper is devoted to a study of differential equations and inequalities of the form and The results are mainly concerned with the existence of positive solutions, their uniqueness in the case of (*), and bounds for these solutions.

References

10

Functional Analysis and Numerical Mathematics

J. M. O., Lothar Collatz, Hansjörg Oser · Mathematics of Computation · 1968 · 364 citations

, , +8

On a class of nonlinear second-order differential equations

Zeev Nehari · Transactions of the American Mathematical Society · 1960 · 335 citations

, , +8

On second-order non-linear oscillation

F. V. Atkinson · Pacific Journal of Mathematics · 1955 · 307 citations · Full text

, , +12

Oscillation and nonoscillation of solutions of second order linear differential equations with integrable coefficients

James S. W. Wong · Transactions of the American Mathematical Society · 1969 · 76 citations

, , +12

ON SECOND ORDER NONLINEAR OSCILLATION.

Defense Technical Information Center (DTIC) · 1968 · 60 citations

, , +15