In the original languageTranslation into English
ON A PROBLEM FOR ONE CLASS OF FOURTH ORDER NONLINEAR SOBOLEV TYPE DIFFERENTIAL EQUATIONS
Authors
Sardar Aliyev, Aliyev Samed Jahangir oqlu,, Aliyeva Arzu Qambar qizi
Rubric:Mathematics
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Annotation
This work is dedicated to the study of certain properties of the classical solution to a one-dimensional mixed problem for one class of fourth order nonlinear equations. By multiplying the equation under consideration by a suitable function and performing subsequent term by term integration, a theorem on the a priori estimation of the classical solution to the mixed problem is proven
Keywords
nonlinear equation
classical solution
a priori estimate.
mixed problem
Authors
Sardar Aliyev, Aliyev Samed Jahangir oqlu,, Aliyeva Arzu Qambar qizi
Rubric:Mathematics
996
3
Share
996
3
References:
- A. Aliyeva. Investigation of generalized solution of one-dimensional mixed problem for a class of fourth order semi linear equations of Sobolev type, Transactions of National Academy of Sciences of Azerbaijan, v.XXXII, №4. Baku, 2012, 3-12.
- A. Aliyeva. On the existence in large for almost everywhere solution of one-dimensional mixed problem for a class of semilinear fourth order equations of Sobolev type, Proceedings of Institute of Mathematics and Mechanics,v.XXX,2009,19-36.
- S. Aliyev, A. Aliyeva, G. Abdullayeva. On the existence of solution to multidimensional third order nonlinear equations, European Journal of Pure and Applied Mathematics 12 (2),2019, 577-589.
- S Aliyev, A Aliyeva. On the existence for almost everywhere solution of multidimensional mixed problem for one class third order differential equations with nonlinear operator in the right-hand side, International Journal of Pure and Applied Matematics 115 (3),2017, 549-560.
- S Aliyev, A Aliyeva. The investigation of one-dimensional mixed problem for one class of nonlinear fourth order educations, European Journal of Technical and Natural Sciences, № 2, 2020, 16-18.
- .S. Aliyev, M. Heydarova, A. Aliyeva. On the existence of classical solution to one-dimensional fourth order semilinear equations, Advances in Differential Equations and Control Processes 31 (2), 2024, 165-185.
- K. Khudaverdiyev, A. Aliyeva On the global existence of solution to one-dimensional fourth order nonlinear Sobolev type equations, Applied Mathematics and Computation, v. 217, 2010. 347-354.
- I. Tekin. Inverse problem for a nonlinear third order in time partial differential equation. Mathematical Methods in the Applied Sciences, 44 (11),2021, 9571-9581
- I. Tekin. Determination of a time-dependent coefficient in a wave equation with unusual boundary condition. Filomat, 33 (9),2019, 2653-2665.
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