Results 1 to 10 of about 310,792 (316)
Existence of Solutions for a Baby-Skyrme Model [PDF]
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
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On the Existence of Singular Solutions [PDF]
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.
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On a System of Sequential Caputo Fractional Differential Equations with Nonlocal Boundary Conditions
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
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Existence and solution methods for equilibria [PDF]
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
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Mathematical Challenges in the Theory of Chemotaxis
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
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On the existence of Canard solutions [PDF]
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.
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Local existence for a general model of size-dependent population dynamics
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
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Existence of solutions for 4p-order PDES
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
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Existence Analysis of Multi-Point Boundary Value Problems with Riesz-Caputo Fractional Derivatives [PDF]
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
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New Insights on Keller–Osserman Conditions for Semilinear Systems
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
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