Uniqueness theorem and uniqueness of inverse problems for lossy anisotropic inhomogeneous structures with diagonal material tensors
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DOI: 10.1063/1.4983768
Abstract: The uniqueness theorem for lossy anisotropic inhomogeneous structures with diagonal material tensors is proven. For these materials, we prove that all the elements of the constitutive tensors must be lossy. Materials like cloaks and lenses… read more here.
Keywords: diagonal material; lossy anisotropic; material tensors; anisotropic inhomogeneous ... See more keywords
Uniqueness Theorem for the Eigenvalues’ Function
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DOI: 10.1134/s1995080219080109
Abstract: We study the family of Sturm-Liouville operators, generated by fixed potential q and the family of separated boundary conditions. We prove that the union of the spectra of all these operators can be represented as… read more here.
Keywords: uniqueness theorem; eigenvalues function; theorem eigenvalues; family ... See more keywords
Uniqueness theorem on meromorphic functions and their difference operators
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DOI: 10.1186/s13662-018-1878-2
Abstract: In this paper, we study the uniqueness problems of meromorphic functions and their difference operators. Our main result is a difference analogue of a result of Jank–Mues–Volkmann, which is concerned with the uniqueness of an… read more here.
Keywords: difference; functions difference; meromorphic functions; uniqueness theorem ... See more keywords
Existence and Uniqueness Theorem for a Solution to a Class of a Third-Order Nonlinear Differential Equation in the Domain of Analyticity
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DOI: 10.3390/axioms11050203
Abstract: The paper considers the specifics of nonlinear differential equations that have applications in different areas. Earlier, the authors proved the existence and uniqueness theorem for a solution to a class of non-linear differential equations in… read more here.
Keywords: theorem solution; nonlinear differential; class; existence uniqueness ... See more keywords