A trace formula of a boundary value problem for the operator Sturm-Liouville equation.

Aslanova, N.M.

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Displaying similar documents to “A trace formula of a boundary value problem for the operator Sturm-Liouville equation.”

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We consider the Dirac-type operators D + a, a is a paravector in the Clifford algebra. For this operator we state a Cauchy-Green formula in the spaces $C^{1} (G)$ and $W_{p}^{1} (G)$ . Further, we consider the Cauchy problem for this operator.

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In this article, we give some important theorems of forward difference, backward difference, central difference and difference quotient and forward difference, backward difference, central difference and difference quotient formulas of some special functions.

Sonin-type expansions for solutions to a generalized Bessel equation of order $m$ and their application.

Khriptun, M.D. (2001)

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Difference and Difference Quotient. Part II

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In this article, we give some important properties of forward difference, backward difference, central difference and difference quotient and forward difference, backward difference, central difference and difference quotient formulas of some special functions [11].MML identifier: DIFF 2, version: 7.8.09 4.97.1001

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Chaos in some planar nonautonomous polynomial differential equation

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We show that under some assumptions on the function f the system $ż = z ̅ (f (z) e^{i ϕ t} + e^{i 2 ϕ t})$ generates chaotic dynamics for sufficiently small parameter ϕ. We use the topological method based on the Lefschetz fixed point theorem and the Ważewski retract theorem.

Explicit Solutions of Nonlocal Boundary Value Problems, Containing Bitsadze-Samarskii Constraints

Tsankov, Yulian (2010)

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MSC 2010: 44A35, 35L20, 35J05, 35J25 In this paper are found explicit solutions of four nonlocal boundary value problems for Laplace, heat and wave equations, with Bitsadze-Samarskii constraints based on non-classical one-dimensional convolutions. In fact, each explicit solution may be considered as a way for effective summation of a solution in the form of nonharmonic Fourier sine-expansion. Each explicit solution, may be used for numerical calculation of the solutions too. ...