WEIGHTED PSEUDO-ALMOST PERIODIC SOLUTIONS FOR SOME ABSTRACT DIFFERENTIAL EQUATIONS WITH UNIFORM CONTINUITY

DOI10.1017/S0004972710001772zbMath1213.34064MaRDI QIDQ3065421

Hong-Xu Li, Li-Li Zhang

Publication date: 5 January 2011

Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

fixed point\(C_0\)-semigroupuniform continuityalmost periodicweighted almost periodic

Mathematics Subject Classification ID

One-parameter semigroups and linear evolution equations (47D06) Nonlinear differential equations in abstract spaces (34G20) Classical almost periodic functions, mean periodic functions (42A75) Applications of operator theory to differential and integral equations (47N20) Almost and pseudo-almost periodic solutions to ordinary differential equations (34C27)

Related Items (13)

Weighted pseudo almost automorphic solutions of hyperbolic semilinear integro-differential equations ⋮ Piecewise weighted pseudo almost periodic functions and applications to impulsive differential equations ⋮ Existence of weighted pseudo anti-periodic solutions to some non-autonomous differential equations ⋮ Weighted pseudo almost periodic solutions of second-order neutral-delay differential equations with piecewise constant argument ⋮ Weighted pseudo almost periodic solutions of second order neutral differential equations with piecewise constant argument ⋮ Translation invariance and related properties of \(\mu\)-pseudo almost automorphic (periodic) functions with application ⋮ Weighted Stepanov-like pseudoperiodicity and applications ⋮ Weighted pseudo almost periodic solutions of \(N\)-th order neutral differential equations with piecewise constant arguments ⋮ Pseudo almost periodic dynamics of impulsive Nicholson's blowflies model with nonlinear density-dependent mortality term ⋮ Almost periodic functions and their applications: a survey of results and perspectives ⋮ Stepanov-like weighted pseudo almost automorphic solutions to fractional order abstract integro-differential equations ⋮ ALMOST AUTOMORPHIC SOLUTIONS FOR DIFFERENTIAL EQUATIONS WITH PIECEWISE CONSTANT ARGUMENT ⋮ Weighted ergodic components in \(\mathbb{R}^n\)

Cites Work

• Almost automorphic solutions to a class of semilinear fractional differential equations
• Existence and uniqueness of pseudo-almost periodic solutions to some classes of partial evolution equations
• Weighted pseudo almost periodic functions and applications
• The existence of pseudo-almost periodic solutions for some nonlinear differential equations in Banach spaces
• Almost periodic differential equations
• Composition of pseudo almost-periodic functions and Cauchy problems with operator of nondense domain
• Pseudo almost periodic solutions of some differential equations
• Pseudo almost periodic solutions of some differential equations. II
• Weighted pseudo-almost periodic solutions to some differential equations
• Exponential dichotomy and existence of pseudo almost-periodic solutions of some differential equations
• Pseudo almost periodic solutions for some differential equations in a banach space
• Composition of pseudo almost-periodic functions and semilinear differential equations.
• Existence and uniqueness of pseudo almost periodic solutions of semilinear Cauchy problems with non dense domain

This page was built for publication: WEIGHTED PSEUDO-ALMOST PERIODIC SOLUTIONS FOR SOME ABSTRACT DIFFERENTIAL EQUATIONS WITH UNIFORM CONTINUITY