CONDITIONS FOR THE EXISTENCE OF AN ISOLATEDSOLUTION OF A BOUNDARY VALUE PROBLEM FOR A SEMILINEAR LOADED HYPERBOLIC EQUATION

Kabdrakhova S.S.
2023 al-Farabi Kazakh State National University

KazNU Bulletin. Mathematics, Mechanics, Computer Science Series
2023 #119 Issue 3 30 - 42 pp.

Boundary value problems for hyperbolic equations are an important area of mathematical physics and science in nature. They arise in various physical and engineering contexts and have a wide range of applications, including wave propagation in elastic media, electromagnetic waves, as well as problems related to fluid and gas motion. In this article, we will focus on one of the significant subclasses of hyperbolic equations, namely, semi-linear loaded hyperbolic equations, and examine the conditions for the existence of isolated solutions to boundary value problems for such equations.Semi-linear loaded hyperbolic equations are equations in which nonlinear terms depend on the solutions themselves. This makes their study more complex and mathematically intriguing. Our task is to find conditions under which such equations have isolated solutions, meaning solutions that exist in a bounded region of space and time and remain bounded themselves.Studying the conditions for the existence of isolated solutions for semi-linear loaded hyperbolic equations is of significant importance both in theory and practical applications. In this article, we will explore various approaches and methods used to analyze.

boundary value problem , isolated solution , loaded hyperbolic equation , semi-periodic boundary value problem , semilinear hyperbolic equation

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Al-Farabi Kazakh National University, Almaty, Kazakhstan
Almaty Institute of Mathematical and Mathematical Modeling, Almaty, Kazakhstan

Al-Farabi Kazakh National University
Almaty Institute of Mathematical and Mathematical Modeling

10 лет помогаем публиковать статьи Международный издатель

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