Integral equivalence of multidimensional differential systems

2009/09/17 by V. N. Gorbuzov, Gorbuzov, V. N.
Computer Science · Mathematics · #34A34 #35F05 #58A17 #Advanced Computational Techniques in Science and Engineering #Differential Equations and Numerical Methods #Dynamical Systems (math.DS) #FOS: Mathematics #Mathematical Control Systems and Analysis

paper · pdf · doi:10.48550/arxiv.0909.3220

openalex publication_date 2009/09/17 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

The bases of the theory of integrals for multidimensional differential systems are stated. The integral equivalence of total differential systems, linear homogeneous systems of partial differential equations, and Pfaff systems of equations is established.

Related

• Partial integrals of ordinary differential systems
• Cylindricality and autonomy of integrals and last multipliers of multidimensional differentional systems
• Compact integral manifolds of differential systems
• Equivalence for Differential Equations
• First integrals of linear differential systems