Results 11 to 20 of about 48 (48)

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.
doaj   +1 more source

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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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  

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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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  

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  

Mathematical Analysis on Current-Voltage Relations via Classical Poisson-Nernst-Planck Systems with Nonzero Permanent Charges under Relaxed Electroneutrality Boundary Conditions. [PDF]

Membranes (Basel), 2023
Wang Y, Zhang L, Zhang M.
europepmc   +1 more source

Competition between Cations via Classical Poisson-Nernst-Planck Models with Nonzero but Small Permanent Charges. [PDF]

Membranes (Basel), 2021
Zhang M.
europepmc   +1 more source