Correctness conditions for high-order differential equations with unbounded coefficients
Ospanov K.N.
December 2021Springer Science and Business Media Deutschland GmbH
Boundary Value Problems
2021#2021Issue 1
We give some sufficient conditions for the existence and uniqueness of the solution of a higher-order linear differential equation with unbounded coefficients in the Hilbert space. We obtain some estimates for the weighted norms of the solution and its derivatives. Using these estimates, we show the conditions for the compactness of some integral operators associated with the resolvent.
Compactness of the resolvent , Estimate of the norm of a solution , Higher-order differential equation , Unbounded coefficients , Unique solvability
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L.N Gumilyov Eurasian National University, Nur-Sultan, Kazakhstan
L.N Gumilyov Eurasian National University
10 лет помогаем публиковать статьи Международный издатель
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