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On a Class of Weakly Regular Singular Two-Point Boundary Value Problems, II

โœ Scribed by R.K. Pandey

Publisher
Elsevier Science
Year
1996
Tongue
English
Weight
373 KB
Volume
127
Category
Article
ISSN
0022-0396

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โœฆ Synopsis

dedicated to professor r. k. s. rathore on his 42 nd birthday Existence of a unique solution of a class of weakly regular singular two point boundary value problems &( p(x) y$)$=p(x) f (x, y), 00 on (0, b); (ii) p(x) # C 1 (0, r), and for some r>b; (iii) xp$(x)ร‚p(x) is analytic in [z: |z| <r] with Taylor expansion xp$(x)ร‚p(x)=b 0 +b 1 x+ } } } , b 0 # [0, 1) and with quite general conditions on f (x, y). These conditions on f(x, y) are sharp, which is seen through one example. Regions for multiple solutions have also been determined.

๐Ÿ“œ SIMILAR VOLUMES

On a Class of Regular Singular Two Point
On a Class of Regular Singular Two Point Boundary Value Problems
โœ R.K Pandey ๐Ÿ“‚ Article ๐Ÿ“… 1997 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 220 KB

Existence of a unique solution for a class of regular singular two point boundary value problems . and with quite general conditions on f x, y . These conditions on f x, y are sharp, which is seen through one example. Regions for multiple solutions have also been determined.

A Class of Two-Point Boundary Value Prob
A Class of Two-Point Boundary Value Problems
โœ Zhaoli Liu; Xuemei Zhang ๐Ÿ“‚ Article ๐Ÿ“… 2001 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 139 KB

We improve the results obtained by the first author in a recent paper where a problem raised by A. Ambrosetti, H. Brezis, and G. Cerami concerning the exact structure of the set of solutions for a class of two-point boundary value problems was solved. Here we study a more general problem and get mor