Results 81 to 90 of about 554 (129)

Existence and Multiplicity Results for Systems of First-Order Differential Equations via the Method of Solution-Regions

Advanced Nonlinear Studies, 2018
In this paper, we establish existence and multiplicity results for systems of first-order differential equations. To this end, we introduce the method of solution-regions.
Frigon Marlène
doaj   +1 more source

Peano's Existence Theorem revisited [PDF]

arXiv, 2012
We present new proofs to four versions of Peano's Existence Theorem for ordinary differential equations and systems. We hope to have gained readability with respect to other usual proofs. We also intend to highlight some ideas due to Peano which are still being used today but in specialized contexts: it appears that the lower and upper solutions method
arxiv  

Solutions of a coupled system of hybrid boundary value problems with Riesz-Caputo derivative

Demonstratio Mathematica
Riesz-Caputo fractional derivative refers to a fractional derivative that reflects both the past and the future memory effects. This study gives sufficient conditions for the existence of solutions for a coupled system of fractional order hybrid ...
Ji Dehong, Fu Shiqiu, Yang Yitao
doaj   +1 more source

A reformulation of an ordinary differential equation [PDF]

arXiv, 2013
The purpose of this note is to present a formulation of a given nonlinear ordinary differential equation into an equivalent system of linear ordinary differential equations. It is evident that the easiness of a such procedure would be able to open a new way in order to calculate or approximate the solution of an ordinary differential equation.
arxiv  

Existence of solutions for nonlinear problems involving mixed fractional derivatives with p(x)-Laplacian operator

Demonstratio Mathematica
In this article, a functional boundary value problem involving mixed fractional derivatives with p(x)p\left(x)-Laplacian operator is investigated. Based on the fixed point theorems and Mawhin’s coincidence theory’s extension theory, some existence ...
Sun Bingzhi
doaj   +1 more source

Periodic and Asymptotically Periodic Solutions of Systems of Nonlinear Difference Equations with Infinite Delay [PDF]

arXiv, 2013
In this work we study the existence of periodic and asymptotically periodic solutions of a system of nonlinear Volterra difference equations with infinite delay. By means of fixed point theory, we furnish conditions that guarantee the existence of such periodic solutions.
arxiv  

Existence of Solutions for Nonconvex Differential Inclusions of Monotone Type [PDF]

Comptes rendus de l'Academ\'emie bulgare des Sciences 67, no. 3 (2014) 3-9, 2013
Differential inclusions with compact, upper semi-continuous, not necessarily convex right-hand sides in R^n are studied. Under a weakened monotonicity-type condition the existence of solutions is proved.
arxiv  

A novel algorithm for time-fractional foam drainage equation

Alexandria Engineering Journal, 2020
In this work, we present a novel numerical algorithm for solving the nonlinear time-fractional foam drainage equation at early stages of the time. The analytical solution of the nonlinear time-fractional foam drainage equation is represented by a linear ...
Qasem M. Al-Mdallal, Haruon Yusuf, Alaa Ali   +2 more
doaj  

Polynomial Hamiltonian Systems with Movable Algebraic Singularities [PDF]

arXiv, 2013
The singularity structure of solutions of a class of Hamiltonian systems of ordinary differential equations in two dependent variables is studied. It is shown that for any solution, all movable singularities, obtained by analytic continuation along a rectifiable curve, are at most algebraic branch points.
arxiv  

Uniqueness of the Hadamard-type integral equations. [PDF]

Adv Differ Equ, 2021
Li C.
europepmc   +1 more source