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Electronic Journal of Differential Equations, Vol 2026, Iss 15,, Pp 1-19 (2026)
Scopus
ISSN 1072-6691 · Texas State University · 4,977 articles in the index
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Journal Article
Existence and asymptotic behavior of solutions for fractional p-Laplacian Kirchhoff type problems
In this article we study the fractional $p$-Laplacian Kirchhoff type problem in $\mathbb{R}^N$, $$ \Big(a+b\int\int_{\mathbb{R}^{2N}}\frac{|u(x)-u(y)|^p}{|x-y|^{N+sp}}\,dx\,dy\Big) (-\Delta)_p^s u+\lambda V(x)|u|^{p-2}u=f(x,u)+g(x,u), $$ where $s\in(0,1), 2\leq p< \infty, N>sp$, $a, b, \lambda >0$…
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Journal Article
A note on sufficient conditions for the real Jacobian conjecture in R^2
The real Jacobian conjecture in $\mathbb{R}^2$ claims that if $F=(f,g):\mathbb{R}^2 \to \mathbb{R}^2$ is a polynomial map such that $ \det DF(x,y)\neq 0 $ for all $(x,y)\in \mathbb{R}^2$, then $F$ is globally injective. However, it is known that there exists a counterexample on this conjecture…
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Journal Article
Pricing callable bonds and optimal callable time under the Fractional Black-Scholes market
This article concerns the pricing of callable bonds and the determination of optimal call time under the fractional Black-Scholes model. By employing a discrete approximation of the continuous asset price process, we efficiently estimate the continuation value as well as the optimal callable time…
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Journal Article
Dynamical properties of constrained heat flow on Hilbert manifolds
We study the long-time dynamics of solutions to a nonlinear gradient flow associated with Problem (2.7), where trajectories are constrained to evolve on a manifold. Using energy methods and spectral properties of the Dirichlet Laplacian, we first establish global existence and precompactness of…
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Journal Article
Finite-time stability for fuzzy fractional delay differential equations with generalized Caputo derivatives
This work is devoted to the analysis of fuzzy fractional delay differential equations (FDDEs) governed by the generalized Caputo fractional derivative (GCFD). By combining stepwise approximation methods with suitable Gronwall-type inequalities, we establish the existence and uniqueness of…
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Journal Article
Existence and boundedness of the classical global solution to 2D chemotaxis-fluid system with double chemical signals
This article concerns the chemotaxis-fluid system with double chemical signals, \displaylines{ n_t + u \cdot \nabla n=\Delta n-\chi \nabla \cdot (n\nabla c)+\xi \nabla \cdot (n\nabla v) + f(n), \quad x \in \Omega, t > 0, \cr c_t + u \cdot \nabla c=\Delta c-nc, \quad x \in \Omega,\; t > 0, \cr v_t +…
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Journal Article
On nodal ground states for Schrodinger systems
In this article we characterize the least energy nodal and semi-nodal solutions to some Schrodinger system as the minimum on constrained Nehari sets of codimension 4 and 3, respectively; thus allowing to compute their Morse index and the exact number of nodal domains. Next the focus is on the…
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Journal Article
Multiple normalized solutions for fractional (p,q)-Laplacian equations
In this article, we consider the multiplicity results of normalized solutions of the fractional $(p,q)$-Laplacian equation $$\displaylines{ (-\Delta)_p^{s} u+(-\Delta)_q^{s} u=\lambda |u|^{p-2}u+h(\varepsilon x)f(u)+g(u) \quad\text{in }\mathbb{R}^N,\cr \int_{\mathbb {R}^{N}}|u|^p \mathrm{d}x=a^p…
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Journal Article
Existence of solutions with prescribed frequency for perturbed Schrodinger-Bopp-Podolsky systems in bounded domains
In this article, we show that the Schrodinger-Bopp-Podolsky system with Dirichlet boundary conditions in a bounded domain possesses infinitely many solutions of prescribed frequency, for any set of (continuous) boundary conditions, provided that the Schrodinger equation is perturbed with a suitable…
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Journal Article
Infinite many normalized solutions for Schr\
This article studies normalized solutions for the critical Schrodinger-Bopp-Podolsky system with singular coefficient and critical growth, $$\displaylines{ -\Delta u +\lambda u = \phi u + \dfrac{|u|^{s-2}u}{|x|^q} + ( I_{\alpha}*|u|^{2_\alpha^*})|u|^{2_\alpha^*-2}u, \quad x \in \mathbb{R}^3, \cr…
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Journal Article
Boundedness for a two-species doubly degenerate diffusion chemotaxis system in two-dimensions
We study the following two-species doubly degenerate nutrient-taxis system in a smoothly bounded domain \(\Omega \subset \mathbb{R}^2\) under homogeneous Neumann boundary conditions: $$\displaylines{ (u_1)_t = \nabla \cdot(u_1 v \nabla u_{1}) -\chi_1 \nabla \cdot(u_1^2 v \nabla v) + \ell_1 u_1v…
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Journal Article
Standing waves with a critical frequency for the Gross-Pitaevskii equation in trapped dipolar quantum gases
This article concerns the singularly of perturbed Gross-Pitaevskii equations in trapped dipolar quantum gases, $$\displaylines{ - \varepsilon^2 \Delta u + V(x)u +{\lambda _1}{| u |^2}u + {\lambda _2}(K * {| u |^2})u= 0 \quad \text{in } \mathbb{R}^3, \cr u > 0,\quad u \in {H^1}({\mathbb{R}^3}), }$$…
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Journal Article
Stability and decay for the 3D anisotropic micropolar system with fractional dissipation
This article concerns the stability and long-time behavior of 3D anisotropic micropolar systems with fractional dissipation in $\mathbb{R}^3$. By using delicate energy estimates, we prove the stability of solutions to this system when the $H^m$ $(m\geq2)$ norm of the initial data is suitably small…
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Journal Article
Growth of Sobolev norms for nonlinear Schrodinger equations on Euclidean spaces
This article concerns the nonlinear Schrodinger equation (NLS) on $\mathbb{R}^3$ with subcubic and cubic nonlinearities. For the cubic NLS, with initial data in $H^m(\mathbb{R}^3)$, we establish exponential growth of high-order Sobolev norms by using modified energy functionals and lossless…
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Journal Article
Global well-posedness for 3D generalized magnetohydrodynamic equations in critical Fourier-Triebel-Lizorkin-Morrey spaces
This article studies the Cauchy problem of the 3D generalized incompressible magnetohydrodynamic equations in critical Fourier-Triebel-Lizorkin-Morrey spaces. The introduction of the Fourier-Triebel-Lizorkin-Morrey spaces facilitates the estimation of nonlinear terms in the system via Fourier…
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Journal Article
Leslie-Gower predator-prey system; nonlocal dispersal; traveling wave solution
In this work we study the traveling wave solutions for a generalized nonlocal dispersal Leslie-Gower predator-prey system. Employing the truncation method and Schauder fixed-point theorem, we establish the existence of traveling waves connecting the semi-trivial equilibrium to the coexistence…
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Journal Article
Existence of nontrivial solutions for anisotropic p-Laplacian systems via Morse theory
We study the existence of nontrivial weak solutions for anisotropic $p$-Laplacian systems. A sequence of eigenvalues is characterized through the $\mathbb{Z}_2$-cohomological index on a suitable constraint manifold of Finsler type. By combining cohomological local splitting with Morse theoretic…
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Journal Article
Existence, multiplicity and asymptotic behavior of positive solutions to (p,q)-Laplacian elliptic systems
In this article, we study elliptic systems consisting of $p$-Laplacian equations and $q$-Laplacian equations (for short $(p,q)$-Laplacian elliptic system). By employing topological methods, we discuss the existence, nonexistence, and multiplicity of positive solutions depending on multiple…
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Journal Article
Least squares estimation for sub-fractional Brownian bridge with linear drift
In this article we consider least squares estimation (LSE) for sub-fractional Brownian bridge with linear drift defined by $$ dX_t=\frac{\alpha (k-X_t)}{T-t}dt+dS^{H}_t, \quad 0\leq t0$, $k\in R$ and $\tau:=\alpha k$ are unknown parameters, and $S^{H}$ is a sub-fractional Brownian with Hurst index…
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Journal Article
Spatiotemporal dynamics and optimal control of an infection-age structured reaction-diffusion epidemic model with waning immunity
Classical infectious disease models often neglect the interplay of spatial diffusion, infection-age structure, and time-dependent controls. We address this gap by analyzing a spatiotemporal SIQRV reaction-diffusion model structured by infection age, incorporating vaccination, quarantine, and waning…
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