Results 1 to 10 of about 251,066 (317)
Existence of noncontinuable solutions
This paper presents necessary and sufficient conditions for an n-th order differential equation to have a non-continuable solution with finite limits of its derivatives up to the orders n-2 at the right-hand end point of the definition interval.
Miroslav Bartusek
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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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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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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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Qualitative behavior of a higher-order fuzzy difference equation
In this paper, we investigate the qualitative behavior of the fuzzy difference equation $ \begin{equation*} z_{n+1} = \frac{Az_{n-s}}{B+C\prod\limits_{i = 0}^{s}z_{n-i}} \end{equation*} $ where $ n\in \mathbb{N}_{0} = \; \mathbb{N} \cup \left\{ 0 ...
İbrahim Yalçınkaya +4 more
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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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In this work, we study existence and uniqueness of solutions for multi-point boundary value problemS of nonlinear fractional differential equations with two fractional derivatives.
Isra Al-Shbeil +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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Existence of weak solutions for abstract hyperbolic-parabolic equations
In this paper we study the Existence and Uniqueness of solutions for the following Cauchy problem:A2u″(t)+A1u′(t)+A(t)u(t)+M(u(t))=f(t), t∈(0,T) (1)u(0)=u0; A2u′(0)=A212u1; where A1 and A2 are bounded linear operators in a ...
Marcondes Rodrigues Clark
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