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Öğe Asymptotics of the eigenvalues of a boundary value problem for the operator Schrodinger equation with boundary conditions nonlinearly dependent on the spectral parameter(Samara State Technical Univ, 2021) Hashimoglu, I. F.On the space H-1 = L-2(H, [0, 1]), where H is a separable Hilbert space, we study the asymptotic behavior of the eigenvalues of a boundary value problem for the operator Schrodinger equation for the case when one, and the same, spectral parameter participates linearly in the equation and quadratically in the boundary condition. Asymptotic formulae are obtained for the eigenvalues of the considered boundary value problem.Öğe A New Approach to Non-Homogeneous Fuzzy Initial Value Problem(Tech Science Press, 2012) Gasilov, N. A.; Hashimoglu, I. F.; Amrahov, S. E.; Fatullayev, A. G.In this paper, we consider a high-order linear differential equation with fuzzy forcing function and with fuzzy initial values. We assume the forcing function be in a special form, which we call triangular fuzzy function. We present solution as a fuzzy set of real functions such that each real function satisfies the initial value problem by some membership degree. We propose a method to find the fuzzy solution. We present an example to illustrate applicability of the proposed method.Öğe Solution method for a boundary value problem with fuzzy forcing function(Elsevier Science Inc, 2015) Gasilov, N. A.; Amrahov, S. E.; Fatullayev, A. G.; Hashimoglu, I. F.In this paper, we present a new approach to a non-homogeneous fuzzy boundary value problem. We consider a linear differential equation with real coefficients but with a fuzzy forcing function and fuzzy boundary values. We assume that the forcing function is a triangular fuzzy function. Unlike previous studies, we look for a solution that is a fuzzy set of real functions (not a fuzzy-valued function). Each of these real functions satisfies the boundary value problem with some membership degree. We have developed a method that finds this solution, and demonstrated its effectiveness using a test example. To show that the approach can be extended to other types of fuzzy numbers, we extended it to the trapezoidal case. For a particular example, we used the product t-norm to demonstrate how a new solution type can be obtained. (C) 2015 Elsevier Inc. All rights reserved.