Results 1 to 10 of about 251,066 (317)

Existence of noncontinuable solutions

open access: yesElectronic Journal of Differential Equations, 2007
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
doaj   +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

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

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

Qualitative behavior of a higher-order fuzzy difference equation

open access: yesAIMS Mathematics, 2023
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
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 of solutions for multi-point nonlinear differential system equations of fractional orders with integral boundary conditions

open access: yesAIMS Mathematics, 2022
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
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

Existence of weak solutions for abstract hyperbolic-parabolic equations

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 1994
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
doaj   +1 more source

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