In:
Journal of Applied Mathematics, Hindawi Limited, Vol. 2005, No. 1 ( 2005), p. 1-21
Kurzfassung:
We prove existence results for solutions of periodic boundary value problems concerning the n th-order differential equation with p -Laplacian [ φ ( x ( n − 1 ) ( t ) ) ] ' = f ( t , x ( t ) , x ' ( t ) , ... , x ( n − 1 ) ( t ) ) and the boundary value conditions x ( i ) ( 0 ) = x ( i ) ( T ) , i = 0 , ... , n − 1 . Our method is based upon the coincidence degree theory of Mawhin. It is interesting that f may be a polynomial and the degree of some variables among x 0 , x 1 , ... , x n − 1 in the function f ( t , x 0 , x 1 , ... , x n − 1 ) is allowed to be greater than 1 .
Materialart:
Online-Ressource
ISSN:
1110-757X
,
1687-0042
Sprache:
Englisch
Verlag:
Hindawi Limited
Publikationsdatum:
2005
ZDB Id:
2578385-3
SSG:
17,1
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