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Basic Theory for Nonresonance Impulsive Periodic Problems of First Order

โœ Scribed by Juan J. Nieto

Publisher
Elsevier Science
Year
1997
Tongue
English
Weight
140 KB
Volume
205
Category
Article
ISSN
0022-247X

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โœฆ Synopsis

We study the existence of solutions for a nonlinear ordinary differential equation of first order with periodic boundary value conditions and subjected to impulse actions at fixed moments. We develop basic results for the linear situation and then we study the nonlinear problem extending known results when the impulses are absent.

๐Ÿ“œ SIMILAR VOLUMES

Maximum principles for periodic impulsiv
Maximum principles for periodic impulsive first order problems
โœ Daniel Franco; Juan J. Nieto ๐Ÿ“‚ Article ๐Ÿ“… 1998 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 382 KB

We present some comparison results for the periodic boundary value problem for first order ordinary differential equations with impulses at fixed moments. Then, the upper and lower solution method and the monotone iterative scheme are presented. (~) 1998 Elsevier Science B.V. All rights reserved.