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| 2. |
- Akhmetkaliyeva, Raya D., et al.
(author)
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Some new results concerning a class of third-order differential equations
- 2015
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In: Applicable Analysis. - : Taylor & Francis. - 0003-6811 .- 1563-504X. ; 94:2, s. 419-434
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Journal article (peer-reviewed)abstract
- We consider the following third-order differential equation with unbounded coefficients:Some new existence and uniqueness results are proved, and precise estimates of the norms of the solutions are given. The obtained results may be regarded as a unification and extension of all other results of this type
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| 3. |
- Ospanov, K. N., et al.
(author)
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On separation of a degenerate differential operator in Hilbert space
- 2011
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Conference paper (peer-reviewed)abstract
- A coercive estimate for a solution of a degenerate second order di fferential equation is installed, and its applications to spectral problems for the corresponding dif ferential operator is demonstrated. The suffi cient conditions for existence of the solutions of one class of the nonlinear second order diff erential equations on the real axis are obtained.
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| 4. |
- Ospanov, K.N., et al.
(author)
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Separation and the existence theorem for second order nonlineardifferential equation
- 2012
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In: Electronic Journal of Qualitative Theory of Differential Equations. - Hungary : University of Szeged. - 1417-3875. ; :66, s. 1-12
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Journal article (peer-reviewed)abstract
- Sufficient conditions for the invertibility and separability in L2(−∞,+∞) of the degenerate second order differential operator with complex-valued coefficients are obtained, and its applications to the spectral and approximate problems are demonstrated. Usinga separability theorem, which is obtained for the linear case, the solvability of nonlinear second order differential equation is proved on the real axis.
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| 5. |
- Ospanov, K.N., et al.
(author)
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Some inequalities for second order differential operators with unbounded drift
- 2015
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In: Eurasian Mathematical Journal. - : L.N. Gumilyov Eurasian National University. - 2077-9879. ; 6:2, s. 63-74
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Journal article (peer-reviewed)abstract
- We study coercive estimates for some second-order degenerate and damped differential operators with unbounded coefficients. We also establish the conditions for invertibility of these operators.
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