Title of article :
EXISTENCE OF SYMMETRIC POSITIVE SOLUTIONS FOR LIDSTONE TYPE INTEGRAL BOUNDARY VALUE PROBLEMS
Author/Authors :
SREEDHAR, N Department of Mathematics - GITAM (Deemed to be University) - Visakhapatnam, India , PRASAD, K. R Department of Applied Mathematics - Andhra University - Visakhapatnam, India , BALAKRISHNA, S Department of Mathematics - VIEW - Visakhapatnam, India
Abstract :
This paper establishes the existence of even number of symmetric positive
solutions for the even order differential equation
(−1)n
u
(2n)
(t) = f(t, u(t)), t ∈ (0, 1),
satisfying Lidstone type integral boundary conditions of the form
u
(2i)
(0) = u
(2i)
(1) = Z 1
0
ai+1(x)u
(2i)
(x)dx, for 0 ≤ i ≤ n − 1,
where n ≥ 1, by applying Avery–Henderson fixed point theorem.
Keywords :
Green’s function , integral boundary conditions , cone , positive solution , fixed point theorem
Journal title :
Turkish World Mathematical Society Journal of Applied and Engineering Mathematics
