Results 21 to 30 of about 13,731,074 (335)
Existence of positive solution to Kirchhoff-Schrödinger-Poisson system with strong singular term
In this paper, we consider the existence of positive solution to the Kirchhoff-Schrodinger-Poisson system with strong singularity. By using the variational method, the necessary and sufficient condition for the existence of a solution is obtained.
Qi S. Zhang
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In this paper, we will study solution existence and its stability for hybrid fractional DE with fractional integral, fractional differential derivative and Φp-operator in Caputo sense.
W. Al-Sadi+2 more
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In this article, we study a class of nonlinear fractional differential equations with mixed-type boundary conditions. The fractional derivatives are involved in the nonlinear term and the boundary conditions. By using the properties of the Green function,
Fang Wang+3 more
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On existence of positive periodic solutions [PDF]
Let \(\Omega\) be an open convex subset of \(\mathbb{R}^n\). A differential equation \[ \dot x=f(t,x) \tag{1} \] on \(\mathbb{R}\times \text{cl} \Omega\) is considered. It is assumed that the right-hand side of (1) is \(T\)-periodic in \(t\). The main theorem asserts the existence of a fixed point of the Poincaré map associated to (1) in \(\Omega ...
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On Positive Solutions for Some Nonlinear Semipositone Elliptic Boundary Value
This study concerns the existence of positive solutions to classes of boundary value problems of the form −∆u = g(x,u), x ∈ Ω, u(x) = 0, x ∈ ∂Ω, where ∆ denote the Laplacian operator, Ω is a smooth bounded domain in RN (N ≥ 2) with ∂Ω of class C2, and ...
G. A. Afrouzi, S. H. Rasouli
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Positive solution of a fractional differential equation with integral boundary conditions
In this paper, we prove the existence and uniqueness of a positive solution for a boundary value problem of nonlinear fractional differential equations involving a Caputo fractional operator with integral boundary conditions.
Mohammed S Abdo+2 more
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Unique positive solution for an alternative discrete Painlevé I equation [PDF]
We show that the alternative discrete Painlevé I equation (alt-) has a unique solution which remains positive for all . Furthermore, we identify this positive solution in terms of a special solution of the second Painlevé equation () involving the Airy ...
Peter A. Clarkson+2 more
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Solutions and positive solutions for superlinear Robin problems [PDF]
We consider nonlinear, nonhomogeneous Robin problems with a (p − 1)-superlinear reaction term, which need not satisfy the Ambrosetti-Rabinowitz condition. We look for positive solutions and prove existence and multiplicity theorems. For the particular case of the p-Laplacian, we prove existence results under a different geometry near the origin.
N. S. Papageorgiou, C. Vetro, F. Vetro
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Existence of Positive Solution for a Fourth-order Differential System with Variable Coefficients [PDF]
This paper investigates the existence of positive solutions for a fourth-order differential system using a fixed point theorem of cone expansion and compression type. The two main results give sufficient conditions to insure at least one and at least two
Béla Kovács+2 more
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In this article, by means of fixed point theorem on mixed monotone operator, we establish the uniqueness of positive solution for some nonlocal singular higher-order fractional differential equations involving arbitrary derivatives.
Qi Zhong+3 more
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