ON THE FORMULATION AND STUDY OF A BOUNDARY VALUE PROBLEM FOR A FOURTH-ORDER EQUATION OF PARABOLIC-HYPERBOLIC TYPE IN A PENTAGONAL DOMAIN
Keywords:
fourth-order equation, parabolic-hyperbolic type, boundary value problem, Green's function of the first and second boundary value problems, Volterra integral equation of the second kind.Abstract
In this paper, one boundary value problem is set and investigated for a fourth-order parabolic-hyperbolic equation. The problem is solved by the method of directly constructing a solution to the problem.
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Djurayev T.D. Krayeviye zadachi dlya uravneniy smeshannogo i smeshanno-sostavnogo tipov. Tashkent: Fan, 1979, 240 s. [in Russian].
Djurayev T.D., Sopuev A., Mamajanov M. Krayeviye zadachi dlya uravneniy parabolo-giperbolicheskogo tipa. Tashkent, Fan, 1986, 220 s. [in Russian].
Djurayev T.D., Mamajanov M. Krayeviye zadachi dlya odnogo klassa uravneniy chetvertogo poryadka smeshannogo tipa. Differensialniye uravneniya, 1986, t.22, №1, s.25-31. [in Russian].
Taxirov J.O. Krayeviye zadachi dlya smeshannogo parabolo-giperbolicheskogo uravneniya s izvestnoy i neizvestnoy liniyami razdela. Avtoreferat kandidatskoy dissertatsii. Tashkent, 1988. [in Russian].
Apakov Y.P., Mamajonov S.M. Boundary-value problem for the fourth-order equation with multiple characteristics in a rectangular domain. Journal of Mathematical Sciences. 2023. Vol. 272, №2. pp. 185-201.
Mamajonov S.M. The third boundary problem for a fourth-order nonhomogeneous equation with constant coefficients. Bull. Inst. Math. 2022. Vol. 5, №6. pp. 100-109.
Apakov Y.P., Mamajonov S.M. Krayevaya zadacha dlya neodnorodnogo uravneniya chetvertogo poryadka s postoyannimi koeffitsiyentami. Chelyabinskiy fiziko-matema-ticheskiy jurnal. 2023. T. 8, vip. 2. s. 157–172. [in Russian].
Apakov Y.P., Mamajonov S.M. Krayevaya zadacha dlya neodnorodnogo uravneniya chetvertogo poryadka s peremennimi koeffitsiyentami. Dokladi Akademii nauk Respubliki Uzbekistan. 2022. №4. C. 7-13. [in Russian].
Apakov Y.P., Mamajonov S.M. Krayevaya zadacha dlya neodnorodnogo uravneniya chetvertogo poryadka s mladshimi chlenami. Differensialniye uravneniy. 2023. T. 59, №2. C. 183-192. [in Russian].
Apakov Y.P., Mamajonov S.M. Resheniye vtoroy krayevoy zadachi dlya neodnorodnogo uravneniya chetvertogo poryadka s kratnimi xarakteristikami. Nauchniy vestnik NamGU. 2023. № 7. C. 70–80. [in Russian].
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