Title of article :
A Unified Approach to Some Two-Point, Three-Point,
and Four-Point Boundary Value Problems with
Carath´eodory Functions
Author/Authors :
Junyu Wang*، نويسنده , , Daqing Jiang، نويسنده ,
Abstract :
This paper deals with boundary value problems
y g u9..9sf t , u, u9., a-t-b, u a. yj u a . sA, u b. yhu b . sB
and
y g u9.. sf t , u, u9., a-t-b, u a. yj u b. sA, u9 b. yhu9 a. sB,
where a-a Fb -b, j G0, h G0, A and B are given real numbers, g is a
continuous, strictly increasing function with g R.sR, and f is a Carath´eodory
function satisfying a Nagumo condition. The problems have solutions if and only if
there exist a lower solution x and an upper solution y and x t.Fy t. for all
aFtFb.
