( ω , c )‐asymptotically periodic functions, first‐order Cauchy problem, and Lasota‐Wazewska model with unbounded oscillating production of red cells
Sign Up to like & getrecommendations! Published in 2019 at "Mathematical Methods in the Applied Sciences"
DOI: 10.1002/mma.5880
Abstract: Departamento Administrativo de Ciencia, Tecnologia e Innovacion 121556933876 164408 3/R Comision Nacional de Investigacion Cientifica y Tecnologica (CONICYT) CONICYT FONDECYT 1170466 read more here.
Keywords: first order; periodic functions; cauchy problem; asymptotically periodic ... See more keywords
Ground State Solutions for Asymptotically Periodic Kirchhoff-Type Equations with Asymptotically Cubic or Super-cubic Nonlinearities
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DOI: 10.1007/s00009-017-1010-y
Abstract: This paper is concerned with the following Kirchhoff-type equation $$\begin{aligned} -\left( a+b\int _{\mathbb {R}^3}|\nabla {u}|^2\mathrm {d}x\right) \triangle u+V(x)u=f(x, u), \quad x\in \mathbb {R}^{3}, \end{aligned}$$-a+b∫R3|∇u|2dx▵u+V(x)u=f(x,u),x∈R3,where $$V\in \mathcal {C}(\mathbb {R}^{3}, (0,\infty ))$$V∈C(R3,(0,∞)), $$f\in \mathcal {C}({\mathbb {R}}^{3}\times \mathbb… read more here.
Keywords: tau; asymptotically periodic; frac; mathbb ... See more keywords
Cycles in asymptotically stable and chaotic fractional maps
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DOI: 10.1007/s11071-021-06379-2
Abstract: The presence of the power-law memory is a significant feature of many natural (biological, physical, etc.) and social systems. Continuous and discrete fractional calculus is the instrument to describe the behavior of systems with the… read more here.
Keywords: periodic points; stable chaotic; asymptotically periodic; asymptotically stable ... See more keywords
Heteroclinic connections for a double-well potential with an asymptotically periodic coefficient
Sign Up to like & getrecommendations! Published in 2017 at "Journal of Differential Equations"
DOI: 10.1016/j.jde.2017.03.022
Abstract: Abstract We prove the existence of monotone heteroclinic solutions to a scalar equation of the kind u ″ = a ( t ) V ′ ( u ) under the following assumptions: V ∈ C… read more here.
Keywords: connections double; asymptotically periodic; well potential; heteroclinic connections ... See more keywords
Nehari-type ground state solutions for asymptotically periodic fractional Kirchhoff-type problems in RN$\mathbb{R}^{N}$
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DOI: 10.1186/s13661-017-0922-6
Abstract: AbstractIn this paper, we studied the following fractional Kirchhoff-type equation: (a+b∫RN|(−△)α2u|2dx)(−△)αu+V(x)u=f(x,u),x∈RN,$$\biggl(a+b \int_{\mathbb{R}^{N}} \bigl\vert (-\triangle)^{\frac{\alpha }{2}}u \bigr\vert ^{2}\,\mathrm{d}x \biggr) (-\triangle)^{\alpha }u+V(x)u=f(x,u), \quad x\in{\mathbb{R}}^{N}, $$ where a, b are positive constants, α∈(0,1)$\alpha\in(0,1)$, N∈(2α,4α)$N\in (2\alpha,4\alpha)$, (−△)α$(-\triangle)^{\alpha}$ is the… read more here.
Keywords: fractional kirchhoff; asymptotically periodic; state solutions; type ... See more keywords
Ground state solutions for asymptotically periodic Schrödinger–Poisson systems involving Hartree-type nonlinearities
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DOI: 10.1186/s13661-018-1025-8
Abstract: AbstractWe use the non-Nehari manifold method to deal with the system {−Δu+V(x)u+ϕu=(∫R3Q(y)F(u(y))|x−y|μdy)Q(x)f(u(x)),x∈R3,−Δϕ=u2,u∈H1(R3),$$ \textstyle\begin{cases} -\Delta u+V(x)u+\phi u= (\int_{\mathbb{R}^{3}}\frac {Q(y)F(u(y))}{|x-y|^{\mu}}\,dy )Q(x)f(u(x)),\quad x\in\mathbb{R}^{3}, \\ -\Delta\phi=u^{2}, \quad u \in H^{1}(\mathbb{R}^{3}), \end{cases} $$ where V(x)$V(x)$ and Q(x)$Q(x)$ are periodic and… read more here.
Keywords: asymptotically periodic; state solutions; solutions asymptotically; type ... See more keywords
Ground state solutions for asymptotically periodic fractional Choquard equations
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DOI: 10.14232/ejqtde.2019.1.2
Abstract: This paper is dedicated to studying the following fractional Choquard equation (−4)su + V(x)u = (∫ RN Q(y)F(u(y)) |x− y|μ dy ) Q(x) f (u), u ∈ Hs(RN), where s ∈ (0, 1), N ≥… read more here.
Keywords: state solutions; asymptotically periodic; ground state; fractional choquard ... See more keywords
Asymptotically periodic behavior of solutions of fractional evolution equations of order 1 < α < 2
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DOI: 10.1515/ms-2017-0250
Abstract: Abstract In this paper we investigate the asymptotically periodic behavior of solutions of fractional evolution equations of order 1 < α < 2 and in particular existence and uniqueness results are established. Two examples are… read more here.
Keywords: solutions fractional; evolution equations; behavior solutions; asymptotically periodic ... See more keywords