Multiplicity of Positive Solutions of a Class of Ordinary Differential Equations With Nonlinear Boundary Conditions
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Date
2014-03-03
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Addis Ababa University
Abstract
In this paper we study the multiplicity solution of the boundary value problem
u
00
+ a(t)u
0
+ f(u) = 0; B1(u(0)) u
0
(0) = 0; B2(u(b)) + u
0
(b) = 0;
where 0 < t < b < 1, B1 and B2 2 C1[0;1); a 2 C[0;1) with a 0 on [0;1) and
f 2 C[0;1) \ C1(0;1) satisfy suitable conditions.
iii
Description
Keywords
Multiplicity, Positive Solutions, Class of Ordinary Differential, Equations, Nonlinear, Boundary, Conditions