Results 21 to 30 of about 213 (51)

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  

Existence of positive solutions for nonlocal second-order boundary value problem with variable parameter in Banach spaces

Fixed Point Theory and Applications, 2011
By obtaining intervals of the parameter λ, this article investigates the existence of a positive solution for a class of nonlinear boundary value problems of second-order differential equations with integral boundary conditions in abstract spaces ...
Zhang Peiguo
doaj  

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  

Generalised Kolmogorov-Petrovskii-Piskunov equation of fractional order: Power series and shifted Legendre collocation methods

Partial Differential Equations in Applied Mathematics
The classical Kolmogorov-Petrovskii-Piskunov (KPP) equation describes physical phenomena such as combustion, chemical reaction, evolution of dominant genes, and propagation of nerve pulses.
Richard Olu Awonusika, Abayomi Samuel Oke   +1 more
doaj   +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

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 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

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  

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  

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