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We discuss a class of two-parameters coupled Kirchhoff-type fractional differential equations. Two differentiated methods are used to prove the existence of two solutions to the equation. The fundamen...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars:Multiple solutions for semilinear subelliptic Dirichlet problem。
Under simple conditions, we prove the existence of three solutions for a fourth-order asymptotically linear elliptic boundary value problem. For the resonance case at infinity, we do not need to assum...
This paper presents some results on the existence of double solutions for singular impulsive boundary value problems on the half line.
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...
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 ...
We inverstigate in this paper the existence problem for a critical semilinear biharmonic problem defined on a bounded domain.It is verified that the Palais-Smale condition holds true in certain interv...
The Behrens-Fisher problem concerns testing the equality of the means of two normal populations with possibly different variances. The null hypothesis in this problem induces a statistical model for...

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