DOI10.1090/memo/0647zbMath0913.58051OpenAlexW1969220758MaRDI QIDQ4220942
Wenxian Shen, Yingfei Yi
Publication date: 21 December 1998
Published in: Memoirs of the American Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://semanticscholar.org/paper/ddf81e76b9225c665dba2e1f660a67485296cf54
Exponential stability for nonautonomous functional differential equations with state-dependent delay,
Almost periodicity and almost automorphy for some evolution equations using Favard's theory in uniformly convex Banach spaces,
Dynamical behavior of almost periodically forced neutral delayed equation and its applications,
Metrical almost periodicity, metrical approximations of functions and applications,
Pseudo almost automorphy of semilinear fractional differential equations in Banach spaces,
Basic reproduction ratios for almost periodic compartmental epidemic models,
Almost periodic and almost automorphic solutions of linear differential/difference equations without Favard's separation condition. I,
Almost periodic and almost automorphic solutions of linear differential/difference equations without Favard's separation condition. II,
Group actions on monotone skew-product semiflows with applications,
Weighted pseudo almost automorphic solutions of hyperbolic semilinear integro-differential equations,
Convergence on cooperative cascade systems with length one,
Characterizations of regular almost periodicity in compact minimal abelian flows,
Almost periodically forced circle flows,
Levitan/Bohr almost periodic and almost automorphic solutions of scalar differential equations,
On Lotka--Volterra Equations with Identical Minimal Intrinsic Growth Rate,
Non-autonomous scalar linear-dissipative and purely dissipative parabolic PDEs over a compact base flow,
Topologies of \(L_{\text{loc}}^p\) type for Carathéodory functions with applications in non-autonomous differential equations,
Exponential dichotomies by Ekeland's variational principle,
Periodic, quasi-periodic, almost periodic, almost automorphic, Birkhoff recurrent and Poisson stable solutions for stochastic differential equations,
Basic reproduction ratios for almost periodic compartmental models with time delay,
Lifting properties of minimal sets for parabolic equations on đÂč with reflection symmetry,
Poisson stable motions of monotone and strongly sub-linear non-autonomous dynamical systems,
Poisson stable solutions for stochastic functional evolution equations with infinite delay,
Kadets type and Loomis type theorems for asymptotically almost periodic functions,
Stability, uniqueness and recurrence of generalized traveling waves in time heterogeneous media of ignition type,
Poisson stable solutions and solution maps for stochastic functional differential equations,
Critical Transitions in d-Concave Nonautonomous Scalar Ordinary Differential Equations Appearing in Population Dynamics,
Semiflows âMonotone with Respect to High-Rank Cones" on a Banach Space,
Principal Floquet subspaces and exponential separations of type II with applications to random delay differential equations,
Attractors in almost periodic Nicholson systems and some numerical simulations,
The rotation number for almost periodic potentials with jump discontinuities and \(\delta \)-interactions,
Pullback, forward and chaotic dynamics in 1D non-autonomous linear-dissipative equations,
Almost automorphy of minimal sets for C1${C}^{1}$âsmooth strongly monotone skewâproduct semiflows on Banach spaces,
Compact almost automorphic solutions to Poisson's and heat equations,
Basic reproduction ratios for almost periodic reaction-diffusion epidemic models,
One-dimensional monotone nonautonomous dynamical systems,
On the solvability of the Yakubovich linear-quadratic infinite horizon minimization problem,
Quasimonotone random and stochastic functional differential equations with applications,
Asymptotic behavior of solutions of nonautonomous neutral dynamical systems,
The exponential ordering for nonautonomous delay systems with applications to compartmental Nicholson systems,
Existence, uniqueness, and stability of generalized traveling waves in time dependent monostable equations,
Unnamed Item,
Dynamics alternatives and generic convergence for \(C^1\)-smooth strongly monotone discrete dynamical systems,
Nil Bohr-sets and almost automorphy of higher order,
Is uniform persistence a robust property in almost periodic models? A well-behaved family: almost-periodic Nicholson systems,
On the delayed vector-bias malaria model in an almost periodic environment,
Existence of global attractor for a nonautonomous state-dependent delay differential equation of neuronal type,
Exponential separation and principal Floquet bundles for linear parabolic equations on general bounded domains: Nondivergence case,
Almost automorphic linear dynamics by Favard theory,
Uniform stability and chaotic dynamics in nonhomogeneous linear dissipative scalar ordinary differential equations,
Topological dynamics for monotone skew-product semiflows with applications,
Almost automorphically and almost periodically forced circle flows of almost periodic parabolic equations on \(S^1\),
Spatial-homogeneity of stable solutions of almost-periodic parabolic equations with concave nonlinearity,
Estimates for the principal spectrum point for certain time-dependent parabolic operators,
Unnamed Item,
Behavior of bounded solutions for some almost periodic neutral partial functional differential equations,
Almost automorphic solutions for stochastic differential equations driven by Lévy noise,
Bohr-Neugebauer property for almost automorphic partial functional differential equations,
Harnack inequalities, exponential separation, and perturbations of principal Floquet bundles for linear parabolic equations,
Invariant manifolds, global attractors, almost automorphic and almost periodic solutions of non-autonomous differential equations,
Monotonicity of stable solutions in shadow systems,
Nonautonomous Dynamical Systems in the Life Sciences,
Perturbations of normally hyperbolic manifolds with applications to the Navier-Stokes equations,
Dynamical systems and traveling waves in almost periodic structures,
Frequency modules and nonexistence of quasi-periodic solutions of nonlinear evolution equations,
Stochastic bifurcation of pathwise random almost periodic and almost automorphic solutions for random dynamical systems,
Almost automorphic solutions for mean-field stochastic differential equations driven by fractional Brownian motion,
Attractor minimal sets for non-autonomous delay functional differential equations with applications for neural networks,
Null flows and null functions on \(\mathbb R\),
A generalization of Aubry-Mather theory to partial differential equations and pseudo-differential equations,
Variational principle for spreading speeds and generalized propagating speeds in time almost periodic and space periodic KPP models,
Square-mean almost automorphic solutions for some stochastic differential equations,
Convergence in almost periodic competition diffusion systems,
Translation-invariant monotone systems II: Almost periodic/automorphic case,
Perturbations of foliated bundles and evolutionary equations,
Lifting of locally almost periodicity and some related properties,
Averaging of Attractors and Inertial Manifolds for Parabolic PDE With Random Coefficients,
An almost periodic Ross-Macdonald model with structured vector population in a patchy environment,
Characterization of Cocycle Attractors for Nonautonomous ReactionâDiffusion Equations,
Prevalent behavior of smooth strongly monotone discrete-time dynamical systems,
Almost periodic solutions for second order dynamic equations on time scales,
Poisson stable motions of monotone nonautonomous dynamical systems,
Non-Atkinson perturbations of nonautonomous linear Hamiltonian systems: exponential dichotomy and nonoscillation,
The Selgrade decomposition for linear semiflows on Banach spaces,
Weak topologies for Carathéodory differential equations: continuous dependence, exponential dichotomy and attractors,
Phase-translation group actions on strongly monotone skew-product semiflows,
Principal Lyapunov exponents and principal Floquet spaces of positive random dynamical systems. I. General theory,
A spectral countability condition for almost automorphy of solutions of differential equations,
Almost automorphic solutions for semilinear boundary differential equations,
A generalization of Bochner's theorem and its applications in the study of impulsive differential equations,
Almost automorphic and almost periodic dynamics for quasimonotone non-autonomous functional differential equations,
Forwards attraction properties in scalar non-autonomous linearâdissipative parabolic PDEs. The case of null upper Lyapunov exponent,
Almost automorphy and various extensions for stochastic processes,
A Katznelson-Tzafriri type theorem for almost periodic linear evolution equations,
\(K\)-dimensional invariant cones of random dynamical systems in \(\mathbb{R}^n\) with applications,
Bifurcations in non-autonomous scalar equations,
Population dynamics under climate change: persistence criterion and effects of fluctuations,
Exponential separation and principal Lyapunov exponent/spectrum for random/nonautonomous parabolic equations,
Analysis of a reaction-diffusion system about West Nile virus with free boundaries in the almost periodic heterogeneous environment,
On a Bohr-Neugebauer property for some almost automorphic abstract delay equations,
Diffusive KPP equations with free boundaries in time almost periodic environments. II: Spreading speeds and semi-wave solutions.,
Long-time behavior of almost periodically forced parabolic equations on the circle,
Spreading speeds of time-dependent partially degenerate reaction-diffusion systems,
Asymptotic spatial homogeneity in periodic quasimonotone reaction-diffusion systems with a first integral,
Uniform persistence for nonautonomous and random parabolic Kolmogorov systems,
Uniform and strict persistence in monotone skew-product semiflows with applications to non-autonomous Nicholson systems,
Spreading speeds and linear determinacy of time dependent diffusive cooperative/competitive systems,
Sharpened dynamics alternative and its \(C^1\)-robustness for strongly monotone discrete dynamical systems,
Structure of \(\omega\)-limit sets for almost-periodic parabolic equations on \(S^{1}\) with reflection symmetry,
Dynamics of master equations with time-recurrent structure,
Principal Lyapunov exponents and principal Floquet spaces of positive random dynamical systems. III. parabolic equations and delay systems,
Favard theory for the adjoint equation and Fredholm alternative,
Multi-dimensional almost automorphic type functions and applications,
Mean-square almost automorphic solutions for stochastic differential equations with hyperbolicity,
Almost automorphically-forced flows on \(S^1\) or \(\mathbb{R}\) in one-dimensional almost periodic semilinear heat equations,
Global and cocycle attractors for non-autonomous reaction-diffusion equations. The case of null upper Lyapunov exponent,
Spectral theory for general nonautonomous/random dispersal evolution operators,
Stability and extensibility results for abstract skew-product semiflows,
Characterization of non-autonomous attractors of a perturbed infinite-dimensional gradient system,
Almost automorphy and Veech's relations of dynamics on compact \(T_2\)-spaces,
Applications of the exponential ordering in the study of almost-periodic delayed Hopfield neural networks,
A non-autonomous Conley index,
An almost periodic epidemic model in a patchy environment,
An almost periodic epidemic model with age structure in a patchy environment,
Almost automorphic solutions to logistic equations with discrete and continuous delay,
Weighted Stepanov-like pseudo almost automorphy and applications,
Almost periodic structures and the semiconjugacy problem,
Minimal sets in monotone and concave skew-product semiflows. I: A general theory,
Necessary and sufficient conditions for the existence of equilibrium in abstract non-autonomous functional differential equations,
A reaction-diffusion SIS epidemic model in an almost periodic environment,
Dynamics of a class of ODEs more general than almost periodic,
Almost automorphic solutions for nonautonomous stochastic differential equations,
The space of continuous periodic functions is a set of first category in \(AP(X)\),
Almost automorphic solutions for abstract functional differential equations.,
Compact almost automorphic solutions for some nonlinear integral equations with time-dependent and state-dependent delay,
Almost periodic dynamics of perturbed infinite-dimensional dynamical systems,
A classification of minimal sets of torus homeomorphisms,
Almost automorphic mild solutions to neutral parabolic nonautonomous evolution equations with nondense domain,
On the relationship of \(C^{m}\)-almost periodicity on \(\mathbb {R}\) and time scales,
Dynamics in coupled oscillators with recurrent/random forcing, a PDE approach.,
Strictly ordered minimal subsets of a class of convex monotone skew-product semiflows.,
Traveling waves in time almost periodic structures governed by bistable nonlinearities. I: Stability and Uniqueness,
Traveling waves in time almost periodic structures governed by bistable nonlinearities. II: Existence,
Exponential ordering for neutral functional differential equations with non-autonomous linear \(D\)-operator,
A relation between almost automorphic and Levitan almost periodic points in compact minimal flows,
Uniformly attracting solutions of nonautonomous differential equations,
Evolution semigroups, translation algebras, and exponential dichotomy of cocycles,
Skew-product semiflows for non-autonomous partial functional differential equations with delay,
Carrying simplices in nonautonomous and random competitive Kolmogorov systems,
A construction of almost automorphic minimal sets,
Estimates for principal Lyapunov exponents: a survey,
Forward attraction of pullback attractors and synchronizing behavior of gradient-like systems with nonautonomous perturbations,
Almost automorphic solutions of non-autonomous differential equations,
Levitan almost periodic and almost automorphic solutions of \(V\)-monotone differential equations,
Order-preserving nonautonomous discrete dynamics: attractors and entire solutions,
Almost periodic and almost automorphic solutions to semilinear parabolic boundary differential equations,
Monotone dynamical systems: reflections on new advances \& applications,
Boundedness and almost periodicity of solutions for a class of semilinear parabolic equations with boundary degeneracy,
Minimal sets in monotone and sublinear skew-product semiflows. I: The general case,
Minimal sets in monotone and sublinear skew-product semiflows. II: Two-dimensional systems of differential equations,
On some qualitative properties of monotone linear extensions of dynamical systems,
Traveling waves in diffusive random media,
A note on non-autonomous scalar functional differential equations with small delay,
Levitan/Bohr almost periodic and almost automorphic solutions of second order monotone differential equations,
On the topological structure of almost automorphic and asymptotically almost automorphic solutions of differential and integral equations in abstract spaces,
The principal Floquet bundle and exponential separation for linear parabolic equations,
Almost periodic and almost automorphic dynamics for scalar convex differential equations,
Attractor minimal sets for cooperative and strongly convex delay differential systems,
Complete guiding sets for a class of almost-periodic differential equations,
Asymptotic periodicity for strongly damped wave equations,
On Favard's theorems,
A new metric yielding a richer class of unbounded functions having compact hulls in the shift flow,
Spreading speeds for two species competition systems in time almost periodic and space periodic media,
An almost periodic dengue transmission model with age structure and time-delayed input of vector in a patchy environment,
Existence and stability of generalized transition waves for time-dependent reaction-diffusion systems,
Weighted Stepanov-like pseudo-almost automorphic mild solutions for semilinear fractional differential equations,
Spectral theory for nonlocal dispersal with periodic or almost-periodic time dependence,
Nonlocal dispersal equations with almost periodic dependence. I. Principal spectral theory,
Global attractivity in concave or sublinear monotone infinite delay differential equations,
Periodic, almost periodic and almost automorphic solutions for SPDEs with monotone coefficients,
A spectral theory of continuous functions and the Loomis-Arendt-Batty-Vu theory on the asymptotic behavior of solutions of evolution equations,
Spreading and generalized propagating speeds of discrete KPP models in time varying environments,
Poisson stable solutions for stochastic differential equations with Lévy noise,
Discretized characterizations of exponential dichotomy of linear skew-product semiflows over semiflows,
The principal spectrum for linear nonautonomous parabolic PDEs of second order: Basic properties,
Barycentric solutions of linear almost periodic equations: Baire class and almost automorphy,
On Massera and Bohr-Neugebauer type theorems for some almost automorphic differential equations,
Spatial dynamics of an epidemic model in time almost periodic and space periodic media,
Reducible linear quasi-periodic systems with positive Lyapunov exponent and varying rotation number,
Parabolic differential equations with bounded delay,
Global attractivity in monotone and subhomogeneous almost periodic systems,
Diffusive KPP equations with free boundaries in time almost periodic environments I: Spreading and vanishing dichotomy,
Continuous separation for monotone skew-product semiflows: from theoretical to numerical results,
A stage-structured population model with time-dependent delay in an almost periodic environment,
Piecewise continuous almost automorphic functions and Favard's theorems for impulsive differential equations in honor of Russell Johnson