Behavior of the solutions of a partial differential equation with a piecewise constant argument

DOI10.2298/FIL1719931BzbMath1499.35041WikidataQ115229958 ScholiaQ115229958MaRDI QIDQ5022787

Huseyin Bereketoglu, Mehtap Lafci

Publication date: 19 January 2022

Published in: Filomat (Search for Journal in Brave)

zbMATH Keywords

stabilityoscillationpartial differential equationpiecewise constant arguments

Mathematics Subject Classification ID

Stability in context of PDEs (35B35) Heat equation (35K05) Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs (35B05)

Related Items (7)

Stability ofθ-schemes for partial differential equations with piecewise constant arguments of alternately retarded and advanced type ⋮ On the stable difference schemes for the Schrödinger equation with time delay ⋮ Stability analysis of partial differential equations with piecewise constant arguments ⋮ Asymptotical stability of neutral reaction-diffusion equations with PCAs and their finite element methods ⋮ CONVERGENCE AND STABILITY OF GALERKIN FINITE ELEMENT METHOD FOR HYPERBOLIC PARTIAL DIFFERENTIAL EQUATION WITH PIECEWISE CONTINUOUS ARGUMENTS OF ADVANCED TYPE ⋮ Convergence and stability of spectral collocation method for hyperbolic partial differential equation with piecewise continuous arguments ⋮ One-parameter Galerkin finite element methods for neutral reaction-diffusion equations with piecewise continuous arguments

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Asymptotic equivalence of nonlinear and quasi linear differential equations with piecewise constant arguments
• On approximation of the solutions of delay differential equations by using piecewise constant arguments
• Linearized oscillations for equations with piecewise constant arguments
• Retarded differential equations with piecewise constant delays
• Oscillations and asymptotic stability of solutions of first order neutral differential equations with piecewise constant argument
• New contractivity condition in a population model with piecewise constant arguments
• Existence and uniqueness of periodic solutions for a delay differential equation with piecewise constant arguments
• Boundary value problems for partial differential equations with piecewise constant delay
• A wave equation with discontinuous time delay
• Oscillatory and periodic solutions to a diffusion equation of neutral type
• The existence of almost periodic solutions of retarded differential equations with piecewise constant argument
• Boundary value problems for the diffusion equation with piecewise continuous time delay
• A survey of partial differential equations with piecewise continuous arguments
• On the exponential growth of solutions to nonlinear hyperbolic equations
• Existence, computability and stability for solutions of the diffusion equation with general piecewise constant argument
• Analytical and numerical stability of partial differential equations with piecewise constant arguments
• Oscillatory and Periodic Solutions of Delay Differential Equations with Piecewise Constant Argument
• Oscillatory and periodic solutions for systems of two first order linear differential equations with piecewise constant argument
• Complicated dynamics in a delay Klein–Gordon equation

This page was built for publication: Behavior of the solutions of a partial differential equation with a piecewise constant argument