Results 21 to 30 of about 59 (57)

Properties of the set of positive solutions to Dirichlet boundary value problems with time singularities

open access: yes, 2020
The paper investigates the structure and properties of the set S of all positive solutions to the singular Dirichlet boundary value problem Mathematics Subject Classification 2010: 34B18, 34B16, 34A12 Key words: Singular ordinary differential equation ...
Svatoslav Staněk, Irena Rachůnková
core  

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

open access: yesPartial 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   +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

open access: yesDemonstratio 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   +3 more
doaj   +1 more source

Abstract method of upper and lower solutions and application to singular boundary value problems: Dedicated to Professor Ioan A. Rus on the occasion of his 80th anniversary

open access: yes, 2016
The method of upper and lower solutions is presented for the fixed point problem associated to operators which are compositions of a linear operator and a nonlinear mapping.
PRECUM, Radu
core  

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

open access: yesElectronic 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  

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