Elastic transformation and its inverse transformation for solving first- and third-order nonlinear variable coefficient ordinary differential equations
DOI10.1216/rmj.2023.53.417zbMath1526.34001MaRDI QIDQ6170585
No author found.
Publication date: 10 August 2023
Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)
Full work available at URL: https://projecteuclid.org/journals/rocky-mountain-journal-of-mathematics/volume-53/issue-2/ELASTIC-TRANSFORMATION-AND-ITS-INVERSE-TRANSFORMATION-FOR-SOLVING-FIRST/10.1216/rmj.2023.53.417.full
general solutionnonlinearODE with variable coefficientselastic transformation methodinverse transform of elastic transform
Transformation and reduction of ordinary differential equations and systems, normal forms (34C20) Nonlinear ordinary differential equations and systems (34A34) Explicit solutions, first integrals of ordinary differential equations (34A05)
Cites Work
- Unnamed Item
- Integral transformation of the Navier-Stokes equations in cylindrical geometry
- Introduction to calculus and analysis. Volume I.
- Ermakov-Pinney and Emden-Fowler equations: new solutions from novel Bäcklund transformations
- Solving second order differential equations in quantum mechanics by order reduction.
- Comparative study on order-reduced methods for linear third-order ordinary differential equations
- Boundary value problems for Euler-Bernoulli planar elastica. A solution construction procedure
- Nonlinear differential equations of fourth-order: qualitative properties of the solutions
- Explicit criteria for the oscillation of second-order differential equations with several sub-linear neutral coefficients
- Differential equations of even-order with \(p\)-Laplacian like operators: qualitative properties of the solutions
- A scale elasticity measure for directional distance function and its dual: theory and DEA estimation
- A fresh look at linear ordinary differential equations with constant coefficients. Revisiting the impulsive response method using factorization
- Difference and Differential Equations with Applications in Queueing Theory
- On the complete integrability and linearization of certain second-order nonlinear ordinary differential equations
- Series solution of nonlinear differential equations by a novel extension of the Laplace transform method
This page was built for publication: Elastic transformation and its inverse transformation for solving first- and third-order nonlinear variable coefficient ordinary differential equations
