Topics in Almost Automorphy
From MaRDI portal
Publication:4658080
DOI10.1007/b139078zbMath1073.43004OpenAlexW565164711MaRDI QIDQ4658080
Publication date: 15 March 2005
Full work available at URL: https://doi.org/10.1007/b139078
Theory of fuzzy sets, etc. (03E72) One-parameter semigroups and linear evolution equations (47D06) Classical almost periodic functions, mean periodic functions (42A75) Linear differential equations in abstract spaces (34G10) Almost periodic functions on groups and semigroups and their generalizations (recurrent functions, distal functions, etc.); almost automorphic functions (43A60)
Related Items
Massera type theorem for almost automorphic solutions of functional differential equations of neutral type, Mean-square asymptotically almost automorphic solutions to fractional stochastic relaxation equations, Pseudo-almost periodic and pseudo-almost automorphic solutions to evolution equations in Hilbert spaces, Weighted piecewise pseudo almost automorphic functions with applications to abstract impulsive \(\nabla\)-dynamic equations on time scales, Almost automorphic solution for neutral type high-order Hopfield neural networks with delays in leakage terms on time scales, Stepanov-like pseudo almost automorphic solution to a parabolic evolution equation, Weighted pseudo almost automorphic solutions to a semilinear fractional differential equation with Stepanov-like weighted pseudo almost automorphic nonlinear term, Stepanov-like weighted pseudo almost automorphic functions via measure theory, Asymptotically almost automorphic solutions of fractional order neutral integro-differential equations, Almost automorphic solutions to a class of semilinear fractional differential equations, Existence of almost automorphic mild solutions to non-autonomous neutral stochastic differential equations, On completeness of the space of weighted Stepanov-like pseudo almost automorphic (periodic) functions, Besicovitch almost automorphic solutions of nonautonomous differential equations of first order, Existence and uniqueness of pseudo-almost periodic solutions to some classes of partial evolution equations, Existence and uniqueness of pseudo almost periodic solutions to some abstract partial neutral functional-differential equations and applications, Existence and uniqueness of pseudo-almost periodic solutions to semilinear differential equations and applications, On the almost automorphy of bounded solutions of differential equations with piecewise constant argument, Integral inequalities and pseudo almost automorphic solutions to semilinear differential equations in Banach spaces, Mean-square almost automorphic solutions for stochastic differential equations with hyperbolicity, Almost automorphic solutions for fuzzy Cohen-Grossberg neural networks with mixed time delays, Almost automorphic solutions to nonautonomous stochastic functional integrodifferential equations, Existence and uniqueness of \(C^{(n)}\)-almost periodic solutions to some ordinary differential equations, Almost automorphic solutions to some stochastic functional differential equations with delay, Bounded mild solutions to fractional integro-differential equations in Banach spaces, Composition theorems of Stepanov \(\mu \)-pseudo almost automorphic functions and applications to nonautonomous neutral evolution equations, New composition theorems of Stepanov-like weighted pseudo almost automorphic functions and applications to nonautonomous evolution equations, Asymptotic behavior of solutions of some semilinear functional differential and integro-differential equations with infinite delay in Banach spaces, Weighted pseudo-almost automorphic solutions for some partial functional differential equations, Square-mean weighted pseudo almost automorphic solutions for non-autonomous stochastic evolution equations, Pseudo almost automorphic solutions of fractional order neutral differential equation, Stepanov-like almost automorphy for stochastic processes and applications to stochastic differential equations, Slowly oscillating solutions of a parabolic inverse problem: boundary value problems, Weighted Stepanov-like pseudo almost automorphy and applications, Measure theory and pseudo almost automorphic functions: new developments and applications, Measure theory and square-mean pseudo almost periodic and automorphic process: application to stochastic evolution equations, Almost automorphic solutions to second-order semilinear evolution equations, A new composition theorem for square-mean almost automorphic functions and applications to stochastic differential equations, Mappings of higher order and nonlinear equations in some spaces of almost periodic functions, Asymptotic behavior of mild solutions to semilinear fractional differential equations, Square-mean almost automorphic mild solutions to some stochastic differential equations in a Hilbert space, A note on Weyl pseudo almost automorphic functions and their properties, Almost automorphy for abstract neutral differential equations via control theory, Almost automorphic mild solutions to neutral parabolic nonautonomous evolution equations with nondense domain, Almost periodic and asymptotically almost periodic functions. I, On almost automorphic mild solutions for nonautonomous stochastic evolution equations, Pseudo almost automorphic and weighted pseudo almost automorphic mild solutions to semi-linear differential equations in Hilbert spaces, Complete-closed time scales under shifts and related functions, Weighted pseudo almost automorphic classical solutions and optimal mild solutions for fractional differential equations and application in fractional reaction-diffusion equations, On \(S\)-asymptotically \(\omega \)-periodic functions on Banach spaces and applications, Almost automorphic random functions in probability, Existence of square-mean almost automorphic solutions to stochastic functional integrodifferential equations in Hilbert spaces, Pseudo almost automorphic solutions to semilinear differential equations in Banach spaces, Discrete weighted pseudo almost automorphic solutions of nonautonomous difference equations, Eberlein weak almost periodic solutions for a class of integro-differential equations with infinite delay, Existence of pseudo-almost automorphic solutions for nonlinear differential equations, Pseudo almost automorphic solutions of some nonlinear integro-differential equations, Almost automorphic solutions of non-autonomous differential equations, Almost automorphic mild solutions to some partial neutral functional-differential equations and applications, PC-almost automorphic solution of impulsive fractional differential equations, Measure theory and \(S^2\)-pseudo almost periodic and automorphic process: application to stochastic evolution equations, Existence of positive almost automorphic solutions to neutral nonlinear integral equations, Almost periodic and almost automorphic solutions to semilinear parabolic boundary differential equations, Pseudo almost periodic solutions for a model of hematopoiesis with a feedback control, Almost automorphic delayed differential equations and Lasota-Wazewska model, Asymptotically almost automorphic solutions of differential equations with piecewise constant argument, Poisson \(S^2\)-almost automorphy for stochastic processes and its applications to SPDEs driven by Lévy noise, Pseudo-almost automorphic mild solutions to semilinear integral equations in a Banach space, On type of periodicity and ergodicity to a class of fractional order differential equations, Bounded solutions to a class of semilinear integro-differential equations in Banach spaces, Square-mean almost automorphic mild solutions to non-autonomous stochastic differential equations in Hilbert spaces, Bounded mild solutions of perturbed Volterra equations with infinite delay, Square-mean pseudo almost automorphic process and its application to stochastic evolution equations, Almost automorphic solutions to abstract Volterra equations on the line, Almost automorphic solutions for nonautonomous parabolic evolution equations, Fractional differential equations of Sobolev type with sectorial operators, On some classes of almost automorphic functions and applications to fractional differential equations, Almost automorphic solutions to nonautonomous semilinear evolution equations in Banach spaces, A composition theorem for weighted pseudo-almost automorphic functions and applications, Asymptotically almost automorphic solutions of abstract fractional integro-differential neutral equations, Almost automorphic solutions to some classes of partial evolution equations, Existence and exponential stability of pseudo almost automorphic solutions for Cohen-Grossberg neural networks with mixed delays, Existence of positive almost automorphic solutions to nonlinear delay integral equations, Pseudo-almost-automorphic solutions to some neutral partial functional differential equations in Banach spaces, Weighted Stepanov-like pseudo-almost automorphic mild solutions for semilinear fractional differential equations, Some properties of pseudo-almost automorphic functions and applications to abstract differential equations, Compositions of pseudo almost automorphic functions via measure theory and applications, Some new results on bounded solutions to a semilinear integro-differential equation in Banach spaces, Almost automorphic solutions of nonautonomous evolution equations, Circular spectrum and bounded solutions of periodic evolution equations, Existence, uniqueness and attractiveness of a pseudo almost automorphic solutions for some dissipative differential equations in Banach spaces, Existence of asymptotically almost automorphic solutions to some abstract partial neutral integro-differential equations, Bounded and almost automorphic solutions of some nonlinear differential equations in Banach spaces, Weighted pseudo almost automorphic functions and applications to abstract differential equations, Exponential dichotomy and pseudo-almost automorphy for partial neutral functional differential equations, Stepanov-like pseudo almost automorphic mild solutions to nonautonomous evolution equations, Existence of pseudo almost automorphic mild solutions to stochastic fractional differential equations, Almost automorphic solutions of difference equations, Compact almost automorphic solutions to integral equations with infinite delay, Almost automorphic and weighted pseudo almost automorphic solutions of semilinear evolution equations, Compact almost automorphic solutions to semilinear Cauchy problems with non-dense domain, Almost periodic type functions and densities, Square-mean \(\mu \)-pseudo almost periodic and automophic solutions for a class of semilinear integro-differential stochastic evolution equations, Pseudo almost automorphy of semilinear fractional differential equations in Banach spaces, Almost automorphic solution for some stochastic evolution equation driven by Lévy noise with coefficients \(S^{2}\)-almost automorphic, Almost periodic and almost automorphic solutions of linear differential/difference equations without Favard's separation condition. I, Almost automorphic mild solutions to fractional differential equations, Pseudo almost periodic solutions for a class of fourth-order nonlinear differential equations with a deviating argument, Mild solutions for a multi-term fractional differential equation via resolvent operators, Weighted pseudo almost automorphic solutions of hyperbolic semilinear integro-differential equations, Global exponential stability of pseudo almost automorphic solutions for delayed Cohen-Grosberg neural networks with measure., Pseudo almost periodic solutions to some non-autonomous neutral functional differential equations with unbounded delay, Existence of pseudo almost automorphic mild solutions to some nonautonomous second order differential equations, Almost automorphic and pseudo-almost automorphic mild solutions to an abstract differential equation in Banach spaces, Almost automorphic solutions to integral equations on the line, Positive almost automorphic solutions for a class of non-linear delay integral equations, Stepanov-like weighted asymptotic behavior of solutions to some stochastic differential equations in Hilbert spaces, Asymptotically periodic solutions of a partial differential equation with memory, Almost automorphic solutions for quaternion-valued Hopfield neural networks with mixed time-varying delays and leakage delays, Unnamed Item, Dichotomy and μ‐pseudo almost automorphic solutions for delayed partial functional differential equations in admissible spaces, Convolutions in \(\mu\)-pseudo almost periodic and \(\mu\)-pseudo almost automorphic function spaces and applications to solve integral equations, Mittag-Leffler stability and attractiveness of pseudo almost periodic solutions for delayed cellular neural networks, Eberlein-weakly almost periodic solutions for some partial functional differential equation with infinite delay, A computation method of Hausdorff distance for translation time scales, Unnamed Item, Piecewise Continuous Stepanov-Like Almost Automorphic Functions with Applications to Impulsive Systems, Bounded solutions of functional integro-differential equations arising from heat conduction in materials with memory, Optimal (ω,c)-asymptotically periodic mild solutions to some fractional evolution equations, Existence of almost automorphic solution in distribution for a class of stochastic integro-differential equation driven by Lévy noise, Pseudo almost periodic solutions to a class of semilinear differential equations, Pseudo almost automorphic solutions for some partial functional differential equations with infinite delay, EXISTENCE OF <i>µ</i>-PSEUDO ALMOST AUTOMORPHIC SOLUTIONS TO ABSTRACT PARTIAL NEUTRAL FUNCTIONAL DIFFERENTIAL EQUATIONS WITH INFINITE DELAY, Asymptotic properties and convolutions of some almost periodic functions with applications, Square-mean almost automorphic solution of a stochastic cellular neural network on time scales, Weighted pseudo almost automorphic mild solutions to semilinear fractional differential equations, Weighted pseudo almost automorphic mild solutions to semilinear fractional differential equations, Local attractivity in nonautonomous semilinear evolution equations, On almost automorphic type solutions of abstract integral equations, a Bohr-Neugebauer type property and some applications, Stepanov-like almost automorphic solutions for stochastic differential equations with Lévy noise, EXISTENCE AND GLOBAL STABILITY OF ALMOST AUTOMORPHIC SOLUTIONS FOR SHUNTING INHIBITORY CELLULAR NEURAL NETWORKS WITH TIME-VARYING DELAYS IN LEAKAGE TERMS ON TIME SCALES, Asymptotically almost automorphic solutions for some integrodifferential equations with nonlocal initial conditions, Almost Periodic Elliptic Equations: Sub- and Super-solutions, About the behavior of solutions for Volterra difference equations with infinite delay, Stepanov-like almost automorphic functions and monotone evolution equations, Diagonalizability of nonautonomous linear systems with bounded continuous coefficients, Weighted pseudo almost automorphic functions and WPAA solutions to semilinear evolution equations, Stepanov-like almost automorphic functions and applications to some semilinear equations, Almost automorphic solutions for mean-field stochastic differential equations driven by fractional Brownian motion, Pseudo-almost-periodic solutions to some semilinear differential equations, Existence and uniqueness of pseudo-almost periodic solutions to some classes of semilinear differential equations and applications, Asymptotic behavior of solutions to abstract stochastic fractional partial integrodifferential equations, Weighted pseudo \(\delta\)-almost automorphic functions and abstract dynamic equations, Pseudo asymptotically periodic solutions for fractional integro-differential neutral equations, Weighted Stepanov-like pseudo almost automorphic solutions for evolution equations and applications, Cn-almost automorphic solutions for partial neutral functional differential equations, New results for some neutral partial functional differential equations, n0-order Δ-almost periodic functions and dynamic equations, Asymptotic behavior of mild solutions of some fractional functional integro-differential equations, Almost automorphic functions on semigroups induced by complete-closed time scales and application to dynamic equations, Almost automorphy profile of solutions for difference equations of Volterra type, Existence of weighted pseudo-almost automorphic mild solutions to non-autonomous abstract neutral differential equations with deviating arguments, Sufficient conditions for global stability and existence of almost automorphic solution of a class of RNNs, Stepanov-like pseudo almost automorphic solutions to some stochastic differential equations, Stability and approximation of almost automorphic solutions on time scales for the stochastic Nicholson's blowflies model, Square-mean almost automorphic solutions to some stochastic evolution equations. I: Autonomous case, Pseudo almost periodic and automorphic mild solutions to nonautonomous neutral partial evolution equations, Pseudo almost automorphic solution of semilinear fractional differential equations with the Caputo derivatives, Abstract weighted pseudo almost automorphic functions, convolution invariance and neutral integral equations with applications, On the existence of 𝐶⁽ⁿ⁾-almost automorphic mild solutions of certain differential equations in Banach spaces, Compact almost automorphic weak solutions for some monotone differential inclusions: applications to parabolic and hyperbolic equations, Unnamed Item, Square-mean piecewise almost automorphic mild solutions to a class of impulsive stochastic evolution equations, Pseudo almost periodic mild solutions to hyperbolic evolution equations in intermediate Banach spaces, Existence and stability of square-mean almost automorphic solution for neutral stochastic evolution equations with Stepanov-like terms on time scales, Unnamed Item, Unnamed Item, Convolutions in (µ, ν)-pseudo-almost periodic and (µ, ν)-pseudo-almost automorphic function spaces and applications to solve integral equations, Unnamed Item, A spectral countability condition for almost automorphy of solutions of differential equations, Almost automorphic solutions for semilinear boundary differential equations, Asymptotically almost automorphic solutions of dynamic equations on time scales, \(C^n\)-almost periodic functions and an application to a Lasota-Wazewska model on time scales, Pseudo asymptotic behavior of mild solution for nonautonomous integrodifferential equations with nondense domain, Attractiveness of pseudo almost periodic solutions for delayed cellular neural networks in the context of fuzzy measure theory in matrix-valued fuzzy spaces, Weighted pseudo almost automorphic solutions for nonautonomous SPDEs driven by Lévy noise, On completeness of the space of weighted pseudo almost automorphic functions, Almost Automorphic Sequences and Their Application to a Model of a Cellular Neural Network, Almost automorphy and various extensions for stochastic processes, Local pseudo almost automorphic functions with applications to semilinear dynamic equations on changing-periodic time scales, C 0-Semigroup and Stepanov-Like Almost Automorphic Functions in Matched Spaces of Time Scales, Existence and exponential stability of weighted pseudo almost periodic classical solutions of integro-differential equations with analytic semigroups, WEIGHTED PSEUDO ALMOST AUTOMORPHIC SOLUTIONS OF FRACTIONAL FUNCTIONAL DIFFERENTIAL EQUATIONS, Interpolation spaces and weighted pseudo almost automorphic solutions to parabolic equations and applications to fluid dynamics
