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Existence of solutions for 2mth-order periodic boundary value problems

โœ Scribed by Xiaojing Feng; Pengcheng Niu; Qianqiao Guo

Book ID
113439656
Publisher
Elsevier Science
Year
2011
Tongue
English
Weight
237 KB
Volume
218
Category
Article
ISSN
0096-3003

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๐Ÿ“œ SIMILAR VOLUMES

Positive solutions of 2mth-order boundar
Positive solutions of 2mth-order boundary value problems
โœ Chuan Jen Chyan; J. Henderson ๐Ÿ“‚ Article ๐Ÿ“… 2002 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 471 KB

We study the existence of positive solutions of the differential equation (-l)my(2m) (t) = f(t,y(t),y"(t), . . ,y(2(m-'))(t)) with the boundary condition Y(~~)(O) = 0 = I, 0 5 i 5 m -1, and Y(~~)(O) = 0 = y( 2i+1)(l), 0 5 i 5 m -1. We show the existence of at least one positive solution if f is eith

Multiple solutions for 2mth-order Sturm-
Multiple solutions for 2mth-order Sturm-Liouville boundary value problems
โœ Chuan Jen Chyan; J. Henderson ๐Ÿ“‚ Article ๐Ÿ“… 2000 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 352 KB

Growth conditions are imposed on f such that the following boundary value problem: (-1)my (2m) = f(t,y), o~i+ly(2i)(0) -f~i+ly(2/+l)(0) --7i+ly(2i)(1) + 5i+1y(2i+1)(1) = O, 0 < i < m-1, has an arbitrary number of positive solutions. (~) 2000 Elsevier Science Ltd. All rights reserved.