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Multiple Solutions of the Singular Impulsive Boundary Value Problems on the Half-line
Boundary value problems impulses fixed point index
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2007/12/11
This paper presents some results on the existence of double solutions for singular impulsive boundary value problems on the half line.
Multiple Solutions and Its Morse Index for One-Dimensional Nonlinear Problem
Nonlinear problem multiple solutions series expression Morse index
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2007/12/11
The multiple solutions for one-dimensional cubicnonlinear problem $u''+u^3=0,u(0)=u(\pi)=0$ are computed, on thebasis of the eigenpairs of $-\phi''_k=\lambda_k \phi_k, \ k=1,2,3\cdots$. There exist t...
MULTIPLE SOLUTIONS OF NONHOMOGENEOUS CHOUQUARD'S EQUATIONS
Multiple Solutions Existence
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2007/12/10
In this paper, we consider the existence of solutions for the following equation: where g(x)≥0, g(x)0, and g(x)∈H-1(R3). We prove that there exists a constant C, if ||g(x)||H-1 ≤C, there are at least ...