The Laplace Transform

Schiff, Joel L.

doi:10.1007/978-0-387-22757-3

Cited by 299 publications

(85 citation statements)

References 2 publications

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“…This section begins with definitions and properties of fractional operator, special functions and their Laplace transformations [13,17,20,26,31,34].…”

Section: Preliminariesmentioning

confidence: 99%

Relative controllability of nonlinear fractional delay integrodifferential systems with multiple delays in control

Nirmala¹,

Balachandran²

2017

Kybernetika

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“…This section begins with definitions and properties of fractional operator, special functions and their Laplace transformations [13,17,20,26,31,34].…”

Section: Preliminariesmentioning

confidence: 99%

Relative controllability of nonlinear fractional delay integrodifferential systems with multiple delays in control

Nirmala¹,

Balachandran²

2017

Kybernetika

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“…We can apply the final-value theorem to (16-19) to obtain the steady-state probabilities but it will require use of the L'Hopital rule and seems difficult and impractical [11]. Instead we set the following differential equations…”

Section: Definition and Analysis Of The Modelmentioning

confidence: 99%

An Intelligent Supervising System for the Operation of an Underground Mine

Córdova

Cañete

Quezada

et al. 2008

INT J COMPUT COMMUN

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Abstract:We develop an analytical model of multiprocessor with private caches and shared memory and obtain the following results: the instantaneous state probabilities and the steady-state probabilities of the system. Both transient behaviour and equilibrium can be studied and analyzed. We showed that results can be applied to determine the output parameters for both blocking and non-blocking caches.

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“…The number a is any real number for which the resulting Bromwich path lies to the right of any singularities of F(ξ ). More details on the inverse Laplace transform can be found in the book [7]. For notational convenience, we will omit a but still adopt this convention.…”

Section: The Linearized Kdv Equationmentioning

confidence: 99%

Eventual periodicity for the KdV equation on a half-line

Shen

Yuan

2007

Physica D: Nonlinear Phenomena

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This paper studies the eventual periodicity of solutions to the initial and boundary value problem for the KdV equation on a half-line and with periodic boundary data. We derive a representation formula for solutions to the linearized KdV equation and rigorously establish the eventual periodicity of these solutions. Numerical experiments performed on the full KdV equation indicate that its solutions are also eventually periodic.

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The Laplace Transform

Cited by 299 publications

References 2 publications

Relative controllability of nonlinear fractional delay integrodifferential systems with multiple delays in control

Relative controllability of nonlinear fractional delay integrodifferential systems with multiple delays in control

An Intelligent Supervising System for the Operation of an Underground Mine

Eventual periodicity for the KdV equation on a half-line

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