Solvability of discrete Dirichlet problem via lower and upper functions method
نویسندگان
چکیده
منابع مشابه
Solvability of discrete Dirichlet problem via lower and upper functions method
We use the lower and upper functions method to prove the existence of a solution of the Dirichlet problem DðpðtÞDuðt2 1ÞÞ þ f ðt; uðtÞÞ 1⁄4 gðtÞ; t [ 1⁄21;T ; uð0Þ 1⁄4 0; uðT þ 1Þ 1⁄4 0; where T [ N, 1⁄21; T 1⁄4 {1; 2; . . . ;T}, p : 1⁄21; T þ 1 ! R is positive and f : 1⁄21; T £ R! R is continuous. Provided f fulfils certain sign conditions we get the solvability of the problem for each g : 1⁄2...
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ژورنال
عنوان ژورنال: Journal of Difference Equations and Applications
سال: 2007
ISSN: 1023-6198,1563-5120
DOI: 10.1080/10236190601143302