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Electronic Journal of Qualitative Theory of Differential Equations
Scopus
ISSN 1417-3875 · University of Szeged · 1.885 artikel di indeks
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Kolmogorov-type mathematical models with variable delay in population biology
We investigate several qualitative properties of scalar Kolmogorov-type models with time and state dependent delay, arising in population biology. Specifically, we shall focus on the analysis of boundedness and positivity of solutions, and the stability of equilibria. These results contribute to a…
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Double phase problems with supercritical and sublinear growth
In this work, our objective is to study the operators involving the nonstandard growth via variational methods. We first study a double phase problem having supercritical growth via minimization technique on convex sets. Alongside, the case of competing $(p, q) $ Laplacian problems with sublinear…
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Variational approach to nonhomogeneous elliptic system with Hardy potentials
This paper investigates the existence of weak solutions to a nonlinear elliptic system driven by distinct nonhomogeneous operators, where the nonlinearities exhibit superlinear growth and involve Hardy-type singular terms. To overcome the lack of compactness caused by the presence of the Hardy…
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The effect of network structure on the dynamics of epidemic propagation in an individual-based model
An individual-based model of SIS epidemic propagation is considered on regular graphs. This model explicitly incorporates the adjacency matrix of the network enabling us to study the effect of network structure on the dynamic of the propagation process. Our goal in this paper is to understand how…
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On nonlinear perturbations of a periodic integrodifferential Stein–Weiss equation with critical exponential growth
In this paper, we study the existence of solutions for integrodifferential Stein–Weiss equations of the form \[- \mathcal{L}_{K}u + V(x)u= \dfrac{1}{|x|^{\beta}}\left(\displaystyle\int_{\mathbb{R}}\dfrac{F(y,u(y))}{|y-x|^{\mu}|y|^{\beta}}\,\mathrm{d}y\right)f(x,u(x)), \quad\mbox{in}\ \mathbb{R}, \]…
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Variational approaches for sixth-order boundary value problems
In this work, we obtain the existence of multiple solutions for sixth-order differential equations with two parameters $\lambda$ and $\mu$, generally arising in astrophysics; the narrow convecting layers bounded by stable layers which are believed to surround A-type stars may be modeled by the…
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Existence of solutions for logarithmic Kirchhoff equation without compactness in $\mathbb{R}^3$
In this paper, we investigate the logarithmic Kirchhoff-type equation \begin{align*} -\left(a+b\int_{\mathbb R^3}|\nabla u|^2 \mathrm{d}x\right)\Delta u+V(x)u=|u|^{p-2}u\log |u|, \quad x\in\mathbb {R}^3, \end{align*} where $a,b>0$ are constants, and $V:\mathbb {R}^3\rightarrow \mathbb {R}$ is…
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Instability with growth rates of discrete systems in Banach spaces
In this paper, we investigate new forms of instability for linear discrete-time dynamical systems in Banach spaces, focusing on characterizations described by non-exponential growth rates. We introduce and analyze the concept of $h$-instability, where $ h=(h_n)_{n \in \mathbb{N}} $ is a…
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Existence results for systems of abstract evolution equations with nonlocal initial conditions
This paper investigates the existence of solutions for systems of abstract evolution equations subject to nonlocal initial conditions. Our approach is based on a combination of the fixed point theorems due to Perov, Schauder and Avramescu, together with the semigroup method and a matrix-based…
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Existence and multiplicity for degenerate fractional Kirchhoff problems with nonsmooth potential
This paper investigates a class of nonlocal variable-order fractional $p(\cdot)$-Kirchhoff type equations with nonsmooth nonlinearities \[ \begin{cases} \mathscr{M}\left(\int_{\mathbb{R}^{2N}}\frac{|u(x)-u(y)|^{p(x,y)}}{p(x,y)|x-y|^{N+s(x,y)p(x,y)}}{\rm d}x{\rm…
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Multiple solutions for a class of Schrödinger–Bopp–Podolsky system with sublinear nonlinearity
In this paper, we investigate the existence and concentration of solutions for the following Schrödinger–Bopp–Podolsky system with sublinear nonlinearity: \begin{equation*} \begin{cases} -\Delta u +\lambda V(x) u+ G(x)\phi u =f(x,u) & \text{in}~\mathbb{R}^{3}, \\ -\Delta \phi +…
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Global structure of positive solutions for nonlinear $(k,n-k)$ conjugate boundary value problems
We are concerned with the global structure of positive solutions of the $(k,n-k)$ conjugate boundary value problem \begin{equation*}\tag{P} \begin{cases} (-1)^{n-k}u^{(n)}(t) = \lambda a(t)f(u(t)),\quad 0 < t < 1,\\ u^{(i)}(0)= 0,\quad 0 \leq i \leq k-1,\\ u^{(j)}(1) = 0,\quad 0 \leq j \leq n-k-1…
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Nonexistence for the nonlinear nonlocal fractional elliptic system in the whole space
This paper is devoted to the study the following nonlinear fractional elliptic system: $$ \begin{cases} (-\Delta)^{\frac{\alpha}{2}}u(x)=h_{1}(x,u(x),v(x)), \\ (-\Delta)^{\frac{\beta}{2}}v(x)=h_{2}(x,u(x),v(x)), \end{cases} $$ where $0
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Existence and multiplicity of positive solutions for Kirchhoff type equations at the critical frequency
We consider the following Kirchhoff equation with critical Sobolev exponent \begin{equation}\label{eq0} \begin{cases} \left(a+b\displaystyle\int_{\mathbb{R}^{N}}|(-\Delta)^{\frac{s}{2}}u|^{2}dx\right)(-\Delta)^{s}u=|u|^{2^{*}_{s}-2}u+\mu g(x), \quad\,\, x\in\mathbb{R}^{N},\\ \tag{K} u\in…
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Sign-changing solution for a logarithmic Kirchhoff type problem
This paper is devoted to study the following logarithmic Kirchhoff problem \[ \left( a + b \int_{\mathbb{R}^3} \left( |\nabla u|^2 + V(x)u^2 \right) dx \right) \left( -\Delta u + V(x)u \right) = |u|^{p-2} u \log |u|, \] where $a,b>0$, $2
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Fake saddles and their transition maps
We study degenerate singular points of planar vector fields inside a (degenerate) flow box. These kind of singularities are called fake saddles and their linear parts are always zero. We characterize fake saddles with non-zero second-order jet and we give the first term of a uniform asymptotic…
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Continuum of limit cycles in a class of three-dimensional quadratic polynomial systems
It is well-known that planar autonomous polynomial dynamical systems have only a finite number of limit cycles. We present a class of parameter depending three-dimensional autonomous systems whose right-hand side consists of quadratic polynomials and establish the bifurcation of a continuum of…
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Well-posedness of Solutions for a Double-Diffusive Convection System with Anisotropic Non-Newtonian Operators and Damping Terms
This paper investigates the initial-boundary value problem for a double-diffusive convection system that incorporates anisotropic non-Newtonian operators and damping terms in a smooth bounded domain $\Omega\subset \mathbb{R}^3$. The primary goal of this work is to establish the existence of weak…
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Ground state solutions for the asymptotically periodic Schrödinger–Poisson systems with $p$-Laplacian
In this paper we study the existence of ground state solutions for the asymptotically periodic Schrödinger–Poisson systems which are coupled by a Schrödinger equation of $p$-Laplacian and a Poisson equation of $q$-Laplacian. The method relies on a variational approach and the case of the…
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Existence results for $p(x)$-curl systems emerging in electromagnetic theory
By using variational techniques and critical point theory, we study the existence and multiplicity of solutions for a class of $p(x)$-curl systems, which appear in the field of electromagnetism. In particular, we discuss the existence of one solution under an asymptotical behaviour of the nonlinear…
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