scholarly journals Existence and global asymptotic behavior of positive solutions for nonlinear problems on the half-line

2014 ◽  
Vol 416 (1) ◽  
pp. 181-194 ◽  
Author(s):  
Imed Bachar ◽  
Habib Mâagli
Keyword(s):  
Asymptotic Behavior ◽  
Positive Solutions ◽  
Nonlinear Problems ◽  
Half Line

Existence and global asymptotic behavior of positive solutions for superlinear fractional dirichlet problems on the half-line

2016 ◽  
Vol 19 (4) ◽  
Author(s):  
Imed Bachar ◽  
Habib Mâagli
Keyword(s):  
Asymptotic Behavior ◽  
Green Function ◽  
Positive Solutions ◽  
Existence And Uniqueness ◽  
Continuous Solution ◽  
Half Line ◽  
Dirichlet Problems ◽  
The Green Function

AbstractUsing estimates on the Green function and a perturbation argument, we prove the existence and uniqueness of a positive continuous solution to problem:

Existence and global asymptotic behavior of positive solutions for combined second-order differential equations on the half-line

2016 ◽  
Vol 5 (3) ◽  
Author(s):  
Imed Bachar ◽  
Habib Mâagli
Keyword(s):  
Asymptotic Behavior ◽  
Differential Equations ◽  
Boundary Value Problem ◽  
Boundary Conditions ◽  
Positive Solutions ◽  
Boundary Value ◽  
Second Order ◽  
Half Line ◽  
Continuous Solutions ◽  
Second Order Differential Equations

AbstractWe are concerned with the existence, uniqueness and global asymptotic behavior of positive continuous solutions to the second-order boundary value problemsubject to the boundary conditions

Existence and asymptotical behavior of solutions for a quasilinear Choquard equation with singularity

2021 ◽  
Vol 19 (1) ◽  
pp. 259-267
Author(s):  
Liuyang Shao ◽  
Yingmin Wang
Keyword(s):  
Asymptotic Behavior ◽  
Positive Solutions ◽  
Riesz Potential ◽  
Asymptotic Behavior Of Solutions ◽  
Suitable Assumption ◽  
Choquard Equation ◽  
Existence Of Positive Solutions

Abstract In this study, we consider the following quasilinear Choquard equation with singularity − Δ u + V ( x ) u − u Δ u 2 + λ ( I α ∗ ∣ u ∣ p ) ∣ u ∣ p − 2 u = K ( x ) u − γ , x ∈ R N , u > 0 , x ∈ R N , \left\{\begin{array}{ll}-\Delta u+V\left(x)u-u\Delta {u}^{2}+\lambda \left({I}_{\alpha }\ast | u{| }^{p})| u{| }^{p-2}u=K\left(x){u}^{-\gamma },\hspace{1.0em}& x\in {{\mathbb{R}}}^{N},\\ u\gt 0,\hspace{1.0em}& x\in {{\mathbb{R}}}^{N},\end{array}\right. where I α {I}_{\alpha } is a Riesz potential, 0 < α < N 0\lt \alpha \lt N , and N + α N < p < N + α N − 2 \displaystyle \frac{N+\alpha }{N}\lt p\lt \displaystyle \frac{N+\alpha }{N-2} , with λ > 0 \lambda \gt 0 . Under suitable assumption on V V and K K , we research the existence of positive solutions of the equations. Furthermore, we obtain the asymptotic behavior of solutions as λ → 0 \lambda \to 0 .

scholarly journals Existence and Exact Asymptotic Behavior of Positive Solutions for a Fractional Boundary Value Problem

2013 ◽  
Vol 2013 ◽  
pp. 1-6 ◽  
Author(s):  
Habib Mâagli ◽  
Noureddine Mhadhebi ◽  
Noureddine Zeddini
Keyword(s):  
Asymptotic Behavior ◽  
Continuous Function ◽  
Boundary Value Problem ◽  
Positive Solution ◽  
Positive Solutions ◽  
Existence And Uniqueness ◽  
Boundary Value ◽  
Fractional Boundary Value Problem ◽  
Exact Asymptotic Behavior ◽  
Nonnegative Continuous Function

We establish the existence and uniqueness of a positive solution for the fractional boundary value problem , with the condition , where , and is a nonnegative continuous function on that may be singular at or .

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