The exact analytic solutions of a nonlinear differential iterative equation
From MaRDI portal
Publication:949671
DOI10.1016/J.NA.2007.08.025zbMath1155.34339OpenAlexW2002107025WikidataQ115343218 ScholiaQ115343218MaRDI QIDQ949671
Publication date: 21 October 2008
Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.na.2007.08.025
exact analytic solutionmajorant seriesDiophantine conditioniterative functional differential equation
Explicit solutions, first integrals of ordinary differential equations (34A05) General theory of functional-differential equations (34K05)
Related Items (17)
On existence and uniqueness results for iterative mixed integrodifferential equation of fractional order ⋮ Complete Group Classification and Exact Solutions to the Generalized Short Pulse Equation ⋮ Unnamed Item ⋮ Lie symmetry analysis, conservation laws and analytical solutions for a generalized time-fractional modified KdV equation ⋮ Lie Symmetries, Conservation Laws and Explicit Solutions for Time Fractional Rosenau–Haynam Equation ⋮ Painlevé analysis and analytic solutions to the Riccati types of equations ⋮ SYMMETRY AND CONSERVATION LAW CLASSIFICATION AND EXACT SOLUTIONS TO THE GENERALIZED KdV TYPES OF EQUATIONS ⋮ Kawahara equation and modified Kawahara equation with time dependent coefficients: symmetry analysis and generalized ‐expansion method ⋮ Rogue waves, bright-dark solitons and traveling wave solutions of the \((3+1)\)-dimensional generalized Kadomtsev-Petviashvili equation ⋮ Lie symmetries, conservation laws and exact solutions for two rod equations ⋮ Lie symmetry analysis and exact solutions for the extended mKdV equation ⋮ Lie symmetry analysis, optimal systems and exact solutions to the fifth-order KdV types of equations ⋮ Symmetry analysis and exact solutions to the space-dependent coefficient PDEs in finance ⋮ Exact and explicit solutions for a nonlinear extended iterative differential equation ⋮ Analytic solutions of a second order iterative functional differential equation ⋮ Lie symmetry analysis and exact solutions for the short pulse equation ⋮ Lie group classifications and exact solutions for two variable-coefficient equations
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- The functional differential equation \(x'(t)=x(x(t))\)
- Analytic solutions of an iterative functional equation
- Analytic solutions of a second-order nonautonomous iterative functional differential equation
- Iteration of analytic functions
- DISCUSSION ON THE ANALYTIC SOLUTIONS OF THE SECOND-ORDER ITERATED DIFFERENTIAL EQUATION
- Analytic solutions of a second-order functional differential equation with a state dependent delay
- Analytic solutions of an iterative functional differential equation
This page was built for publication: The exact analytic solutions of a nonlinear differential iterative equation