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Titlebook: Analysis and Operator Theory; Dedicated in Memory Themistocles M. Rassias,Valentin A. Zagrebnov Book 2019 Springer Nature Switzerland AG 2

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Exact Solutions to Problems with Perturbed Differential and Boundary Operators,hat the exact solution for the differential operator with conventional boundary conditions is known. We apply this perturbation method to solve partial integro-differential, or loaded differential, equations with nonlocal, or integral, boundary conditions.
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Norm Conditions for Separability in ,me conditions on suitable norms of . which guarantee its separability. Even when separability of . is guaranteed by some method, its separable decomposition itself is difficult to construct. We present a general condition which makes it possible to find a way of an explicit separable decomposition.
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,Kato’s Inequality,ps on . (holomorphy and closedness of ., the test functions are a core) with the same elegant argument Kato gave, but extending the results to possibly non-symmetric elliptic operators. In the second part, we consider the Dirichlet problem .where . and . is a bounded Wiener regular set. Well-posedne
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On the Border Lines Between the Regions of Distinct Solution Type for Solutions of the Friedmann Equation with positive cosmological constant, where radiation and matter do not couple (see e.g. Baumgärtel in Journal of Mathematical Physics 122505, 2012, [.]). In that paper, the system of case distinction parameters contains a “critical radiation parameter” .. The present note contains the constru
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