The distribution of random motion with Erlang-3 sojourn times

Kolomiiets, Tamila; Pogorui, A. A.; Rodríguez‐Dagnino, Ramón M.

doi:10.1515/rose-2014-0030

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2019

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“…In [6] and [7] this method is applied to the study of one-dimensional distribution of the particles moving in Erlang-2 and Erlang-3 semi-Markov media.…”

Section: Introductionmentioning

confidence: 99%

Solution of Systems of Partial Differential Equations by Using Properties of Monogenic Functions on Commutative Algebras

2019

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In this paper some systems of differential equations with partial derivatives are studied by using the properties of Gâteaux differentiable functions on commutative algebras. The connection between solutions of systems of differential equations in partial derivatives and components of monogenic functions on corresponding commutative algebras is shown. We also give some examples of systems of differential equations with partial derivatives and find their solutions.

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“…In [6] and [7] this method is applied to the study of one-dimensional distribution of the particles moving in Erlang-2 and Erlang-3 semi-Markov media.…”

Section: Introductionmentioning

confidence: 99%

Solution of Systems of Partial Differential Equations by Using Properties of Monogenic Functions on Commutative Algebras

2019

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“…(1.1) is the well-known biwave equation. The biwave equation has been used in modeling of d-wave superconductors (see for instance [1], and references therein) or in probability theory [2,3].…”

Section: Introductionmentioning

confidence: 99%

An algebraic approach for solving fourth-order partial differential equations

Pogorui¹,

Kolomiiets²,

Rodríguez‐Dagnino³

2019

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It is well-known that any solution of the Laplace equation is a real or imaginary part of a complex holomorphic function. In this paper, in some sense, we extend this property into four order hyperbolic and elliptic type PDEs. To be more specific, the extension is for a c-biwave PDE with constant coefficients, and we show that the components of a differentiable function on the associated hypercomplex algebras provide solutions for the equation.

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The distribution of random motion with Erlang-3 sojourn times

Cited by 2 publications

References 0 publications

Solution of Systems of Partial Differential Equations by Using Properties of Monogenic Functions on Commutative Algebras

Solution of Systems of Partial Differential Equations by Using Properties of Monogenic Functions on Commutative Algebras

An algebraic approach for solving fourth-order partial differential equations

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