Results 21 to 30 of about 212 (50)

On a Nonlocal Boundary Value Problem for Second Order Nonlinear Singular Differential Equations [PDF]

, 2000
Criteria for the existence and uniqueness of a solution of a nonlocal second order boundary value problem are estabilished.
A. Lomtatidze, MALAGUTI, Luisa
core  

Regularizing effect of absorption terms in singular problems

, 2018
We prove existence of solutions to problems whose model is $$\begin{cases} \displaystyle -\Delta_p u + u^q = \frac{f}{u^\gamma} & \text{in}\ \Omega, \newline u\ge0 &\text{in}\ \Omega,\newline u=0 &\text{on}\ \partial\Omega, \end{cases ...
Oliva, Francescantonio
core   +1 more source

Multiple and unique nontrivial solutions for fractional differential equations with singular property and derivatives contained in the nonlinear term

Demonstratio Mathematica
In this article, a class of p-Laplacian fractional differential equations with multiple derivative terms in the nonlinearity is studied. First, the Green’s function is derived and its key properties are analyzed, enabling us to construct a suitable cone ...
Guo Limin, Zhang Bing, Li Cheng, Chen Jinyan   +3 more
doaj   +1 more source

Modelling Axi-symmetric Travelling Waves in a Dielectric with Nonlinear Refractive Index [PDF]

, 2018
.: We consider an isotropic dielectric with a nonlinear refractive index. The medium may be inhomogeneous but its spatial variation has an axial symmetry.
Stuart, C.
core  

Nonnegative solutions for a class of fourth order singular eigenvalue problems [PDF]

In this paper, we discuss the existence of nonnegative solutions to a fourth order singular boundary value problem at two points. Our result is based on a recent Birkhoff-Kellogg type fixed point theorem developed on translates of a cone on a Banach ...
BOUCHAL, Lydia, GEORGIEV, Svetlin Georgiev, MEBARKI, Karima   +2 more
core   +2 more sources

A note on the singular Sturm-Liouville problem with infinitely many solutions

Electronic Journal of Differential Equations, 2002
We consider the Sturm-Liouville nonlinear boundary-value problem $$ displaylines{ -u''(t) = a(t)f(u(t)), quad 0 < t < 1, cr alpha u(0) - eta u'(0) =0, quad gamma u(1) + delta u'(1) = 0, } $$ where $alpha$, $eta$, $gamma$, $delta geq 0$, $alpha gamma ...
Nickolai Kosmatov
doaj  

A new approach for solving nonlinear Thomas-Fermi equation based on fractional order of rational Bessel functions

, 2016
In this paper, the fractional order of rational Bessel functions collocation method (FRBC) to solve Thomas-Fermi equation which is defined in the semi-infinite domain and has singularity at $x = 0$ and its boundary condition occurs at infinity, have been
Delkhosh, M., Ghaderi, A., Parand, K., Yousefi, H.   +3 more
core   +1 more source

Eigenvalue problems for singular multi-point dynamic equations on time scales

Electronic Journal of Differential Equations, 2017
In this article, we study a singular multi-point dynamic eigenvalue problem on time scales. We find existence of positive solutions by constructing the Green's function and studying its positivity eigenvalue intervals. Two examples are given to
Abdulkadir Dogan
doaj  

Positive solutions for second-order differential equations with singularities and separated integral boundary conditions [PDF]

, 2020
We study the existence of positive solutions for second-order differential equations with separated integral boundary conditions. The nonlinear part of the equation involves the derivative and may be singular for the second and third space variables. The
Abdella Kenzu, Feng Wenying, Zhang Yanlei   +2 more
core  

Coupled system of sequential partial σ (., .) Hilfer fractional differential equations with weighted double phase operator: Existence, Hyers-Ulam stability and controllability [PDF]

In this paper, we are concerned by a sequential partial Hilfer fractional differential system with weighted double phase operator. First, we introduce the concept of Hyers-Ulam stability with respect to an operator L for an abstract equation of the ...
BENKACI-ALI, Nadir
core   +2 more sources