Results 11 to 20 of about 56 (54)

Periodic solutions for second order differential equations with indefinite singularities

Advances in Nonlinear Analysis, 2019
In this paper, the problem of periodic solutions is studied for second order differential equations with indefinite ...
Lu Shiping, Yu Xingchen
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Global behavior of positive solutions for some semipositone fourth-order problems

Advances in Difference Equations, 2018
In this paper, we study the global behavior of positive solutions of fourth-order boundary value problems {u′′′′=λf(x,u),x∈(0,1),u(0)=u(1)=u″(0)=u″(1)=0, $$ \textstyle\begin{cases} u''''=\lambda f(x,u), \quad x\in (0,1), \\ u(0)=u(1)=u''(0)=u''(1)=0 ...
Dongliang Yan, Ruyun Ma
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Existence of multiple positive solutions for p-Laplacian multipoint boundary value problems on time scales

, 2013
In this paper, we consider p-Laplacian multipoint boundary value problems on time scales. By using a generalization of the Leggett-Williams fixed point theorem due to Bai and Ge, we prove that a boundary value problem has at least three positive ...
Dogan, Abdulkadir, Abdulkadir Dogan
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A Counterexample for Singular Equations with Indefinite Weight

Advanced Nonlinear Studies, 2017
We construct a second-order equation x¨=h⁢(t)/xp{\ddot{x}=h(t)/x^{p}}, with p>1{p>1} and the sign-changing, periodic weight function h having negative mean, which does not have periodic solutions.
Ureña Antonio J.
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Existence and Multiplicity of Periodic Solutions to Indefinite Singular Equations Having a Non-monotone Term with Two Singularities

Advanced Nonlinear Studies, 2019
Efficient conditions guaranteeing the existence and multiplicity of T-periodic solutions to the second order differential equation u′′=h⁢(t)⁢g⁢(u){u^{\prime\prime}=h(t)g(u)} are established.
Hakl Robert, Zamora Manuel
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Higher-order impulsive coupled systems with ϕ-Laplacian and generalized jump conditions

Demonstratio Mathematica
This work contains a general theory for coupled systems, with regular and singular semi-linear fully differential equations of higher order, with the possibility of equations of different order and generalized impulsive effects, depending on both ...
Minhós Feliz, Rodrigues Gracino
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Properties of the set of positive solutions to Dirichlet boundary value problems with time singularities

, 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
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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
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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
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Nonnegative solutions for a class of fourth order singular eigenvalue problems

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 ...
GEORGIEV, Svetlin Georgiev, BOUCHAL, Lydia, MEBARKI, Karima   +2 more
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