Flow invariance for nonlinear partial differential delay equations
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Publication:5322897
DOI10.1090/S0002-9947-09-04833-8zbMath1179.47061OpenAlexW1988688030MaRDI QIDQ5322897
Publication date: 23 July 2009
Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1090/s0002-9947-09-04833-8
regularityaccretive operatorspopulation modelslinearised stabilityflow-invariancenonlinear partial differential delay equations
Semigroups of nonlinear operators (47H20) Population dynamics (general) (92D25) Partial functional-differential equations (35R10) Monotone and positive operators on ordered Banach spaces or other ordered topological vector spaces (47H07) Applications of operator theory in chemistry and life sciences (47N60) Nonlinear evolution equations (47J35)
Related Items (10)
Abstract algebraic-delay differential systems and age structured population dynamics ⋮ Linearized Stability for Nonlinear Partial Differential Delay Equations ⋮ Linearized stability for nonlinear Volterra equations ⋮ Well‐posedness for fully nonlinear functional differential equations ⋮ Algebraic-delay differential systems: $C^0$-extendable submanifolds and linearization ⋮ Stable manifolds for delay equations and parameter dependence ⋮ Functional differential equation with infinite delay in a space of exponentially bounded and uniformly continuous functions ⋮ A Hilbert space perspective on ordinary differential equations with memory term ⋮ Flow invariance for differential delay equations ⋮ Viability for delay evolution equations with nonlocal initial conditions
Cites Work
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- Positivity and a principle of linearized stability for delay-differential equations
- Quasi-linear parabolic problems in \(L^1\) with non homogeneous conditions on the boundary
- On uniqueness and existence of entropy solutions for a nonlinear parabolic problem with absorption
- Mild and strong solutions for partial differential equations with delay
- The Hopf bifurcation and its stability for semilinear diffusion equations with time delay arising in ecology
- Spectral properties of finite-dimensional perturbed linear semigroups
- Large diffusivity and asymptotic behavior in parabolic systems
- The weak solution of a functional differential equation in a general Banach space
- On semilinear parabolic evolution equations on closed sets
- Some considerations to the fundamental theory of infinite delay equations
- On semigroups of nonlinear operators and the solution of the functional differential equation \(\dot x(t)=F(x_t)\)
- Positively invariant closed sets for systems of delay-differential equations
- Partial differential equations with deviating arguments in the time variable
- Volterra integral equations as functional differential equations on infinite intervals
- Invariant sets for a class of perturbed differential equations of retarded type
- Nonlinear semigroups of translations in Banach space generated by functional differential equations
- Nonlinear Volterra equations with infinite delay
- Invariant sets and existence theorems for semilinear parabolic and elliptic systems
- Introduction to functional differential equations
- Nonlinear diffusion with absorption
- Almost periodicity and stability for solutions to functional differential equations with infinite delay
- Autonomous nonlinear functional differential equations and nonlinear semigroups
- Linearized stability for nonlinear evolution equations
- Existence and stability of solutions to partial functional-differential equations with delay
- Theory and applications of partial functional differential equations
- Functional differential equations with infinite delays
- Integral solutions of locally Lipschitz continuous functional differential equations
- Linearized stability for abstract differential equations with delay
- Nonlinear absorptions
- Flow invariance for nonlinear accretive evolutions under range conditions
- Necessary and sufficient conditions for the regularity and stability for some partial functional differential equations with infinite delay
- Function Space Flow Invariance for Functional Differential Equations of Retarded Type
- Abstract Functional Differential Equations and Reaction-Diffusion Systems
- Stable and unstable manifolds for partial functional differential equations
- On Volterra’s Population Equation with Diffusion
- Semigroups of translations associated with functional and functional differential equations
- On a diffusion volterra equation
- Equations with unbounded delay: a survey
- Variation of constants formulas for partial differential equations with delay
- Invariant sets for functional differential equations in Banach spaces and applications
- Representation and approximation of generalized solutions of a nonlinear functional differential equation
- Linearized Stability and Irreducibility for a Functional Differential Equation
- Existence and Stability for Partial Functional Differential Equations
- Asymptotic Stability for Abstract Nonlinear Functional Differential Equations
- A Nonlinear Semigroup for a Functional Differential Equation
- Invariant sets for a class of semi-linear equations of evolution
- 20.—Functional Differential Equations and Non-linear Evolution Operators
- Volterra integral equations and nonlinear semigroups
- Invariant closed subsets for nonlinear semigroups
- Existence and uniqueness of solutions of delay differential equations on a closed subset of a Banach space
- Existence of solutions in a closed set for delay differential equations in Banach spaces
- On a modified Volterra population equation with diffusion
- The Evolution Operator Approach to Functional Differential Equations with Delay
- Operator Semigroups for Functional Differential Equations with Delay
- Global Solutions of Functional Evolution Equations Involving Locally Defined Lipschitzian Perturbations
- A Generalized Domain for Semigroup Generators
- Stable equilibrium point of some diffusive functional differential equations
- A Principle of Linearized Stability for Nonlinear Evolution Equations
- Spatial Structures and Periodic Travelling Waves in an Integro-Differential Reaction-Diffusion Population Model
- Nonlinear evolution equations in Banach spaces
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