Integral equivalence of multidimensional differential systems
V.N. Gorbuzov
TL;DR
This paper establishes the integral equivalence among various multidimensional differential systems, providing foundational insights into their interrelations and unifying different classes of differential equations.
Contribution
It introduces the concept of integral equivalence for total differential systems, linear homogeneous PDE systems, and Pfaff systems, unifying their theoretical framework.
Findings
Proves integral equivalence among different differential systems
Provides foundational basis for solving multidimensional differential equations
Unifies various classes of differential systems under a common theory
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.
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Taxonomy
TopicsMathematical Control Systems and Analysis · Differential Equations and Numerical Methods · Advanced Computational Techniques in Science and Engineering