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Positive Solutions of Some Boundary Value Problems for Two-order Difference Equations

Author: MaQiaoZhen
Tutor: MaRuYun
School: Northwest Normal University
Course: Basic mathematics
Keywords: Multi-point boundary value problem Ordinary Differential Equations Second-order There is a positive solution Cone on the fixed point theorem Mixed Boundary Value Problems Dirichlet Transformed into The nature of the solution Existence
CLC: O175.1
Type: Master's thesis
Year: 2001
Downloads: 147
Quote: 1
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Abstract


This paper cone fixed point theorem , the existence of the following three types of multi-point boundary value . Wherein the alpha > 0 , beta > 0,0 < eta < 1 . The results of this part is a direct extension of [5] , that when beta = 0 on converted into text [ 5 ] results . When β = α = 0 , ( 1 ) converted to Dirichlet Boundary Value Problems ; when β = 0, α = 1, η → 1 when the problem ( 1 ) into a mixed boundary value problem . Where α> 0.0 <η <1. Boundary Condition Problems discussions obtained when 0 0 is a parameter , alpha > 0, 0 < eta < 1 . f : [ 0,1 ] × [ 0 , ∞ ) → R is continuous and f is a negative value but below the sector .

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CLC: > Mathematical sciences and chemical > Mathematics > Mathematical Analysis > Differential equations, integral equations > Ordinary Differential Equations
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