Currently displaying 1 – 7 of 7

Showing per page

Order by Relevance | Title | Year of publication

The method of upper and lower solutions for a Lidstone boundary value problem

Yanping Guo;  Ying Gao — 2005

Czechoslovak Mathematical Journal

In this paper we develop the monotone method in the presence of upper and lower solutions for the 2 nd order Lidstone boundary value problem u ( 2 n ) ( t ) = f ( t , u ( t ) , u ' ' ( t ) , ⋯ , u ( 2 ( n - 1 ) ) ( t ) ) , 0 < t < 1 , u ( 2 i ) ( 0 ) = u ( 2 i ) ( 1 ) = 0 , 0 ≤ i ≤ n - 1 , where f [ 0 , 1 ] × ℝ n → ℝ is continuous. We obtain sufficient conditions on f to guarantee the existence of solutions between a lower solution and an upper solution for the higher order boundary value problem.

Page 1

Download Results (CSV)