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Uniqueness implies existence and uniqueness conditions for nonlocal boundary value problems for nth order differential equations

✍ Scribed by Paul W. Eloe; Johnny Henderson

Book ID
108175718
Publisher
Elsevier Science
Year
2007
Tongue
English
Weight
124 KB
Volume
331
Category
Article
ISSN
0022-247X

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πŸ“œ SIMILAR VOLUMES

Uniqueness implies existence and uniquen
Uniqueness implies existence and uniqueness conditions for a class of (k + j)-point boundary value problems for nth order differential equations
✍ Paul Eloe; Johnny Henderson πŸ“‚ Article πŸ“… 2010 πŸ› John Wiley and Sons 🌐 English βš– 131 KB πŸ‘ 1 views

## Abstract For the __n__th order nonlinear differential equation, __y__^(__n__)^ = __f__(__x__, __y__, __y__β€², …, __y__^(__n__βˆ’1)^), we consider uniqueness implies existence results for solutions satisfying certain (__k__ + __j__)‐point boundary conditions, 1 β©½ __j__ β©½ __n__ βˆ’ 1, and 1 β©½ __k__ β©½ _

Existence and uniqueness of solutions of
Existence and uniqueness of solutions of -point nonlocal boundary value problems for ordinary differential equations
✍ Johnny Henderson πŸ“‚ Article πŸ“… 2011 πŸ› Elsevier Science 🌐 English βš– 253 KB

Sufficient conditions are given under which the existence of solutions of 4-point nonlocal boundary value problems, for nth order nonlinear ordinary differential equations, yields the existence of unique solutions of (k + 2)-point boundary value problems, for 1 ≀ k ≀ n -1. The results are motivated