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- Title
Applying the Fourier Method to Solve One Class of Third Order Differential Equations in Banach Spaces.
- Authors
Ismailov, M. I.; Jafarova, S. I.
- Abstract
Mixed problem for one class of third order differential equations with non-linear operator on the right-hand side is considered in the Banach space B2+αp/p,1+αp/p, 1 < p < +∞, αp = max {p - 2; 0}. The concept of generalized solution in B2+αp/p,1+ αp/p is introduced, and the existence and uniqueness theorems for generalized solution of considered problem are proved. Note that for p = 2 this problem has been treated in ([1, 2]). The results obtained in this work are the generalizations of previously known corresponding results for p ≥ 2.
- Publication
Azerbaijan Journal of Mathematics, 2022, Vol 12, Issue 1, p195
- ISSN
2218-6816
- Publication type
Academic Journal