Vol. 81, No. 1, 1979

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Nonlinear differential equations with monotone solutions

Kurt Kreith

Vol. 81 (1979), No. 1, 101–111
Abstract

The differential equation dy4∕dt4 y = 0 has as a fundamental set of solutions sint, cost, et, and et. The latter of these is distinguished by the properties of being positive and strictly decreasing to zero as t →∞. As such, et is the prototype of the “monotone solution” whose existence will be demonstrated for a large class of nonlinear differential equations of even order.

Mathematical Subject Classification 2000
Primary: 34C10
Milestones
Received: 10 June 1977
Revised: 3 May 1978
Published: 1 March 1979
Authors
Kurt Kreith