Maximal Regularity Estimates and the Solvability of Nonlinear Differential Equations
Ospanov M. Ospanov K.
May-2 2022MDPI
Mathematics
2022#10Issue 10
We study a type of third-order linear differential equations with variable and unbounded coefficients, which are defined in an infinite interval. We also consider a non-linear generalization with coefficients that depends on an unknown function. We establish sufficient conditions for the correctness of this linear equation and the maximal regularity estimate for their solution. Using these results, we prove the solvability of a nonlinear differential equation and estimate the norms of its terms.
correctness , maximal regularity estimate , qualitative property of solution , third-order differential equation , unbounded coefficient
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Faculty of Mechanics and Mathematics, L.N. Gumilyov Eurasian National University, 2 Satpaev St., Nur-Sultan, 010008, Kazakhstan
Faculty of Mechanics and Mathematics
10 лет помогаем публиковать статьи Международный издатель
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