ON IMPLICIT SECOND-ORDER PDE OF A SCALAR FUNCTION ON A PLANE VIA DIFFERENTIAL SYSTEMS-Reference-Cited by-同舟云学术

ON IMPLICIT SECOND-ORDER PDE OF A SCALAR FUNCTION ON A PLANE VIA DIFFERENTIAL SYSTEMS

Published:2011-07 Issue:07 Volume:22 Page:907-924
ISSN:0129-167X
Container-title:International Journal of Mathematics
language:en
Short-container-title:Int. J. Math.

Author:

NODA TAKAHIRO¹²,SHIBUYA KAZUHIRO³

Affiliation:

1. Graduate School of Mathematics, Nagoya University, Chikusa-ku, Nagoya 464-8602, Japan

2. Osaka City University Advanced Mathematical Institute, Osaka City University, Sugimoto, Sumiyoshi-Ku, Osaka, 558-8585, Japan

3. Graduate School of Science, Hiroshima University, Higashi-Hiroshima 739-8521, Japan

Abstract

In the present paper, we study implicit second-order PDEs (i.e. partial differential equations) of single type for one unknown function of two variables. In particular, by using the theory of differential systems, we give a geometric characterization of PDEs which have a certain singularity. Moreover, we provide a new invariant of PDEs under contact transformations.

Publisher

World Scientific Pub Co Pte Lt

Subject

General Mathematics

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0129167X11007069

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