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Existence of Solutions for a Baby-Skyrme Model [PDF]

open access: yesJournal of Applied Mathematics, 2014
The existence of the energy-minimizing solutions for a baby-Skyrme model on the sphere is proved using variational method. Some properties of the solutions are also established.
Hongan Hu, Kunlin Hu
doaj   +4 more sources

On the Existence of Singular Solutions [PDF]

open access: yesgmj, 2001
Abstract Sufficient conditions are given, under which the equation 𝑦(𝑛) = ƒ(𝑡, 𝑦, 𝑦′, . . . , 𝑦(𝑙))𝑔(𝑦(𝑛 – 1)) has a singular solution 𝑦[𝑇, τ) → 𝐑, τ < ∞ satisfying , 𝑖 = 0, 1, . . . , 𝑙 and for 𝑗 = 𝑙 + 1, . . . , 𝑛 – 1 where 𝑙 ∈ {0, 1, . . . , 𝑛 – 2}.
Bartušek, M., Osička, J.
openaire   +2 more sources

On a System of Sequential Caputo Fractional Differential Equations with Nonlocal Boundary Conditions

open access: yesFractal and Fractional, 2023
We obtain existence and uniqueness results for the solutions of a system of Caputo fractional differential equations which contain sequential derivatives, integral terms, and two positive parameters, supplemented with general coupled Riemann–Stieltjes ...
Alexandru Tudorache, Rodica Luca
doaj   +1 more source

Existence and solution methods for equilibria [PDF]

open access: yesEuropean Journal of Operational Research, 2013
Equilibrium problems provide a mathematical framework which includes optimization, variational inequalities, fixed-point and saddle point problems, and noncooperative games as particular cases. This general format received an increasing interest in the last decade mainly because many theoretical and algorithmic results developed for one of these models
BIGI, GIANCARLO   +3 more
openaire   +4 more sources

Mathematical Challenges in the Theory of Chemotaxis

open access: yesAnnales Mathematicae Silesianae, 2018
We consider the simplest parabolic-elliptic model of chemotaxis in the whole space and in several space dimensions. Criteria either for the existence of radial global-in-time solutions or their blowup in terms of suitable Morrey spaces norms are ...
Biler Piotr
doaj   +1 more source

On the existence of Canard solutions [PDF]

open access: yesPublicacions Matemàtiques, 2000
We study the existence of global canard surfaces for a wide class of real singular perturbation problems. These surfaces define families of solutions which remain near the slow curve as the singular parameter goes to zero.
openaire   +5 more sources

Local existence for a general model of size-dependent population dynamics

open access: yesAbstract and Applied Analysis, 1997
We shall investigate a size structured population dynamics with aging and birth functions having general forms. The growth rate we deal with depends not only on the size but also on time.
Nobuyuki Kato, Hiroyuki Torikata
doaj   +1 more source

Existence of solutions for 4p-order PDES

open access: yesMoroccan Journal of Pure and Applied Analysis, 2022
In this paper, we study the following nonlinear eigenvalue problem: {Δ2pu=λm(x)u   in  Ω,u=Δu=…Δ2p−1u=0    on  ∂Ω.\left\{ {\matrix{ {{\Delta ^{2p}}u = \lambda m\left( x \right)u\,\,\,in\,\,\Omega ,} \cr {u = \Delta u = \ldots {\Delta ^{2p - 1}}u =
Moradi F.   +3 more
doaj   +1 more source

Existence Analysis of Multi-Point Boundary Value Problems with Riesz-Caputo Fractional Derivatives [PDF]

open access: yesSahand Communications in Mathematical Analysis
This paper explores the study of a specific category of nonlinear multi-point boundary value problems (BVPs) associated with Riesz-Caputo fractional differential equations and integral boundary conditions.
Takieddine Zeghida   +2 more
doaj   +1 more source

New Insights on Keller–Osserman Conditions for Semilinear Systems

open access: yesMathematics
In this article, we consider a semilinear elliptic system involving gradient terms of the form Δyx+λ1∇yx=pxfyx,zxifx∈Ω,Δzx+λ2∇zx=qxgyxifx∈Ω, where λ1, λ2∈0,∞, Ω is either a ball of radius R>0 or the entire space RN.
Dragos-Patru Covei
doaj   +1 more source

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