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Classical non-negative solutions for one-dimensional Vlasov equation
https://doi.org/10.26907/0021-3446-2025-10-50-63
Abstract
New fixed point approach based on certain topological properties is applied on the Vlasov equation to find classical non-negative solutions. This approach allows finding at least one solution and at least two solutions. It is shown how to apply this approach to the problem of finding classical non-negative solutions of the Vlasov equation.
About the Authors
A. Boukarou
University of Science and Technology Houari Boumediene
Algeria
Algeria
Aissa Boukarou
Bab Ezzouar, 16000
S. G. Georgiev
Sorbonne University
France
France
Svetlin G. Georgiev
Paris, 75005
K. Bouhali
Qassim University
Saudi Arabia
Saudi Arabia
Keltoum Bouhali
Buraydah, 51452
Kh. Zennir
Qassim University
Saudi Arabia
Saudi Arabia
Khaled Zennir
Buraydah, 51452
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Review
For citations:
Boukarou A., Georgiev S.G., Bouhali K., Zennir Kh. Classical non-negative solutions for one-dimensional Vlasov equation. Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika. 2025;(10):50-63. (In Russ.) https://doi.org/10.26907/0021-3446-2025-10-50-63
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