IJPAM: Volume 113, No. 4 (2017)
PROBLEM UNDER POINT EXPOSURE
OF EXTERNAL FORCES , E.F. Abdyldaeva, U.E. Duyshenalieva
Kyrgyz-Russian Slavic University
Talas State University
Received: December 15, 2016
Revised: January 30, 2017
Published: March 30, 2017
AMS Subject Classification: 49K20
Key Words and Phrases: boundary value problem, generalized solution, resolvent, point exposure, approximation solution, convergence
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- V. Volterra, Functional theory, integral and integro-differential equations,Nauka, Moskau (1982), (in Russian).
- V.S. Vladimirov, Mathematical problems of the uniform-speed particle transport theory,Tr. MIAN, 61, (1961), 3-158 (in Russian).
- A.I. Egorov, Optimal control of thermal and diffusion processes, Nauka, Moskau (1978), (in Russian).
- E.W. Sachs, A.K. Strauss, Efficient solution of partial integro-differential equation in finance, Appl. Numer. Math. 58, No. 11 (2008), 1687-1703.
- A. Kowalewski, Optimal control of an inﬁnite order hyperbolic system with multiple time-varyinglags, Automatyka, 15, (2011), 53-65.
- J. Thorwe, S. Bhalekar, Solving partial integro-diﬀerential equations using Laplace transform method,American J. Comput. Appl. Math., 2, No. 3 (2012),101-104.
- As.Zh. Khurshudyan, On optimal boundary and distributed control of partial integro-diﬀerential equations,Arch. Contol. Sci., 24(60), No. 1 (2014), 5-25.
- A.K. Kerimbekov, U.E. Duyshenalieva, The problem of moving point control elastic vibrations described by Fredholm integral-differential equations, Vestnik KRSU, 16, No. 5 (2016), 51-57 (in Russian).
- U.E. Duyshenalieva, Solution of the nonlinear optimization of elastic vibrations described byFredholm integral-differential equations with moving pointcontrols, Vestnik KRSU, 16, No. 9 (2016), 7-11 (inRussian).
- A.K. Kerimbekov, U.E. Duyshenalieva,Approximate solution of nonlinear optimization problem of elasticvibrations at a point controls, Problemi avtomatiki iupravleniya, 2, (2016) 57-62 (in Russian).
- M.V. Krasnov, Integral equations, Nauka, Moskau (1975), (in Russian).
- A. Kerimbekov, E.F. Abdyldaeva, U.E. Generalized solution of aboundary value problem under point exposure of external forces,Kazakh Mathematical Journal, 17, No. 1 (2017),37-38.
Source: International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395
Pages: 87 - 101