Abstract
Let χ and ϕ be “arbitrary” linear functionals on C[0,∞) and C 1[0, a], respectively. A large class of evolution equations with one space variable and one time variable is considered. A theorem of uniqueness of the solution of this boundary value problem is proved.
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I.H. Dimovski, R.I. Petrova, Finite integral transforms for nonlocal boundary value problems. Generalized Functions and Convergence, Eds. P. Antosik and A. Kamiński. World Scientific, Singapore (1990).
N.S. Bozhinov, Convolutional Representations of Commutants and Multipliers. Printing House of Bulg. Acad. Sci., Sofia (1988).
I.H. Dimovski, Convolutional Calculus. Kluwer, Dordrecht (1990).
I.H. Dimovski, Nonlocal boundary value problems. In: Mathematics and Math. Education (Proc. 38 Spring Conf. Union Bulg. Mathematicians) (2009), 31–40.
R. Larsen, An Introduction to the Theory of Multipliers. Springer, Berlin — Heidelberg — N. York (1971).
J. Mikusiński, Operational Calculus. Pergamon, Oxford (1959).
S. Lang, Algebra. Addison Wesley (1969).
I.H. Dimovski, M. Spiridonova, Operational calculus approach to nonlocal Cauchy problems. Math. Comput. Sci. 4 (2010), 243–258.
I.H. Dimovski, Nonlocal operational calculi. Proc. Steklov Inst. Math. 2 (1995), 53–56.
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Dedicated to my teacher Professor Ivan Dimovski on the occasion of his 80th anniversary
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Tsankov, Y. A theorem of uniqueness of the solution of nonlocal evolution boundary value problem. Fract Calc Appl Anal 17, 945–953 (2014). https://doi.org/10.2478/s13540-014-0208-y
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DOI: https://doi.org/10.2478/s13540-014-0208-y