On the existence of solutions for impulsive Duffing dynamic equations on time scales with Dirichlet boundary conditions

DOI10.1155/2010/152460zbMath1223.34126OpenAlexW2024898408WikidataQ58649761 ScholiaQ58649761MaRDI QIDQ610858

Tianwei Zhang, Li Yong Kun

Publication date: 13 December 2010

Published in: Abstract and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/227809

zbMATH Keywords

impulsesboundary value problemscritical point theorydynamic equations on time scalessecond-order dynamic equations

Mathematics Subject Classification ID

Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces (58E05) Boundary value problems with impulses for ordinary differential equations (34B37) Dynamic equations on time scales or measure chains (34N05)

Related Items (6)

Asymptotic equivalence of impulsive dynamic equations on time scales ⋮ Uniformly almost periodic functions and almost periodic solutions to dynamic equations on time scales ⋮ Almost periodic solutions of shunting inhibitory cellular neural networks on time scales ⋮ Pseudo almost periodic functions and pseudo almost periodic solutions to dynamic equations on time scales ⋮ Three solutions for forced Duffing-type equations with damping term ⋮ Anti-periodic solutions to impulsive shunting inhibitory cellular neural networks with distributed delays on time scales

Cites Work

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• Kneading theory analysis of the Duffing equation
• Semilinear Duffing equations crossing resonance points
• Exponential stability of fuzzy Cohen-Grossberg neural networks with time delays and impulsive effects
• Existence and uniqueness of anti-periodic solution for a kind of forced Rayleigh equation with state dependent delay and impulses
• \(L^{2}\) spaces and boundary value problems on time-scales
• A small twist theorem and boundedness of solutions for semilinear Duffing equations at resonance
• Rate of decay of stable periodic solutions of Duffing equations
• Existence and multiplicity of solutions for some Dirichlet problems with impulsive effects
• Existence of weak solutions of two-point boundary value problems for second-order dynamic equations on time scales
• Cone-valued Lyapunov functions and stability for impulsive functional differential equations
• Boundary value problems for a class of impulsive functional equations
• Existence and approximation of solutions for a class of nonlinear impulsive functional differential equations with anti-periodic boundary conditions
• A delayed epidemic model with stage-structure and pulses for pest management strategy
• New results for the periodic boundary value problem for impulsive integro-differential equations
• An application of variational methods to Dirichlet boundary value problem with impulses
• Critical point theory and Hamiltonian systems
• Boundedness of solutions for semilinear Duffing equations
• Boundedness in nonlinear oscillations at resonance
• Sturm-Liouville eigenvalue problems on time scales
• Controlling wound healing through debridement
• A general solution of the Duffing equation
• Positive periodic solutions of nonlinear differential systems with impulses
• Existence of solutions for a class of second-order Hamiltonian systems with impulsive effects
• Inequalities on Time Scales: A Survey
• COMPLEXITY OF A DELAYED PREDATOR–PREY MODEL WITH IMPULSIVE HARVEST AND HOLLING TYPE II FUNCTIONAL RESPONSE
• Coincidence degree and periodic solutions of Duffing equations
• A impulsive infective transmission SI model for pest control
• Impulsive periodic solutions of first-order singular differential equations
• BEHAVIOR OF HARMONICS GENERATED BY A DUFFING TYPE EQUATION WITH A NONLINEAR DAMPING: PART I

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