Results 81 to 90 of about 187 (130)

An equivalence between Schauder's fixed point theorem and periodic solutions in Banach spaces

Cid and Mawhin proved that Brouwer's fixed point theorem is equivalent to theexistence of periodic solutions for a suitable class of ordinary differential equations in \((\mathbb R^n)\).
Jorge Novoa
core   +1 more source

An Extensive Study of Approximating the Periodic Solutions of the Prey -Predator System

, 2010
In this paper, an approximation to the periodic solutions of the general LotkaVolterra prey -predator system is obtained using the Poincare -Lindstedt method.
Gopala Rao, D Venu, Hari Krishna, P Sri
core  

A new comparison theorem and the solvability of a third-order two-point boundary value problem

, 2011
A new comparison theorem is proved and then used to investigate the solvability of a third-order two-point boundary value problem u\u27 \u27 \u27 (t) + f (tu(t)u\u27 (t)u\u27 \u27 (t)) = 0, u(0) = u\u27 (2) = 0, u\u27 \u27 (0) = u\u27 \u27 (2?).
Husna Zayadi
core  

Correction to “An Analysis on the Positive Solutions for a Fractional Configuration of the Caputo Multiterm Semilinear Differential Equation”

Journal of Function Spaces, Volume 2025, Issue 1, 2025.
wiley   +1 more source

Multiple solutions of nonlinear boundary value problems for equations with critical points [PDF]

, 2005
. We consider first two the second order autonomous differential equations with critical points, which allow for detecting an exact number of solutions to the Dirichlet boundary value problem.
Ogorodnikova, Svetlana, Svetlana Ogorodnikova   +1 more
core  

Non-homogeneous BVPs for second-order symmetric Hamiltonian systems

Open Mathematics
By making use of Bolle’s method, we show that the following problem has infinitely many solutions: x¨+V′(x)=0,x(0)cosα−x˙(0)sinα=x0,x(1)cosβ−x˙(1)sinβ=x1,\begin{array}{rcl}\ddot{x}+{V}^{^{\prime} }\left(x)& =& 0,\\ x\left(0)\cos \alpha -\dot{x}\left(0 ...
Chen Yingying, Dong Yujun, Wang Baiqian
doaj   +1 more source

Boundary value problems for integro-differential and singular higher-order differential equations

Open Mathematics
We investigate third-order strongly nonlinear differential equations of the type (Φ(k(t)u″(t)))′=f(t,u(t),u′(t),u″(t)),a.e. on[0,T],\left(\Phi \left(k\left(t){u}^{^{\prime\prime} }\left(t)))^{\prime} =f\left(t,u\left(t),u^{\prime} \left(t),{u}^{^{\prime ...
Anceschi Francesca, Calamai Alessandro, Marcelli Cristina, Papalini Francesca   +3 more
doaj   +1 more source

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   +1 more source

Infinitely many solutions for an instantaneous and non-instantaneous fourth-order differential system with local assumptions

Demonstratio Mathematica
We investigate a class of fourth-order differential system with instantaneous and non-instantaneous impulses. Our technical approach is mainly based on a variant of Clark’s theorem without the global assumptions.
Kang Lijuan, Zhang Xingyong, Liu Cuiling
doaj   +1 more source

On a domain of invertibility of a differentiable mapping

, 2004
This paper deals with a domain and its range of invertibility of a differentiable mapping at a point with an invertible derivative. Assuming the C2-class of a mapping T defined in a neighbourhood of a point x0 in Banach space with an invertible ...
Fijalkowski, Piotr
core