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Zeros of solutions of third-order L-A pairs and linearizable ordinary differential equations

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Publication:6049903
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DOI10.1134/S0081543823030197zbMath1523.35200OpenAlexW4386749472MaRDI QIDQ6049903

B. I. Suleimanov

Publication date: 18 September 2023

Published in: Proceedings of the Steklov Institute of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0081543823030197


zbMATH Keywords

ordinary differential equationsintegrabilitynonlinearitylinearizabilitysimultaneous solutionspoint changes


Mathematics Subject Classification ID

Heat equation (35K05) Explicit solutions, first integrals of ordinary differential equations (34A05) Solutions to PDEs in closed form (35C05)





Cites Work

  • Linearization of fifth-order ordinary differential equations by generalized Sundman transformations
  • Point-invariant classes of third-order ordinary differential equations
  • Linearisable third-order ordinary differential equations and generalised sundman transformations: the case \(X=0\)
  • From weak discontinuity to gradient catastrophe
  • Meromorphy of solutions for a wide class of ordinary differential equations of Painlevé type
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