Positive Solutions for Second-Order Three-Point Eigenvalue Problems
نویسندگان
چکیده
منابع مشابه
Positive Solutions for Second-Order Three-Point Eigenvalue Problems
and Applied Analysis 3 Lemma 2.1. Suppose that G t, s is defined as above. Then we have the following results: 1 0 ≤ G t, s ≤ G s, s , 0 ≤ t, s ≤ 1, 2 G t, s ≥ ηtG s, s , 0 ≤ t, s ≤ 1. Proof. It is easy to see that 1 holds. To show that 2 holds, we distinguish four cases. i If t ≤ s ≤ η, then G t, s t ≥ ηts ηtG s, s . 2.4 ii If s ≤ t and s ≤ η, then G t, s s ≥ ηts ηtG s, s . 2.5 iii If t ≤ s an...
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ژورنال
عنوان ژورنال: Abstract and Applied Analysis
سال: 2010
ISSN: 1085-3375,1687-0409
DOI: 10.1155/2010/236826