On the boundedness of the Schrödinger type differential equation with time involution

The strain change during the tempering of S45C martensitic steel was examined at different heating rates using a dilatometer. Tempering stages 1 and 3 corresponding to the precipitations of transition carbide and cementite were observed. Tempering kinetics at each stage was investigated from the relation between the measured strain and atomic volume change during tempering. From the tempering kinetic data, continuous heating tempering diagram was constructed and the tempering kinetic model was proposed as Zener-Hillert type differential equation.

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Homotopy perturbation Laplace transform solution of fractional non-linear reaction diffusion system of Lotka-Volterra type differential equation

Engineering Science and Technology an International Journal ◽

10.1016/j.jestch.2016.10.014 ◽

2017 ◽

Vol 20 (2) ◽

pp. 672-678 ◽

Cited By ~ 4

Author(s):

M.H. Tiwana ◽

K. Maqbool ◽

A.B. Mann

Keyword(s):

Differential Equation ◽

Laplace Transform ◽

Reaction Diffusion ◽

Reaction Diffusion System ◽

Diffusion System ◽

Volterra Type ◽

Homotopy Perturbation ◽

Linear Reaction ◽

Non Linear ◽

Type Differential Equation

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Reduction of the two‐dimensional master equation to a Smoluchowsky type differential equation with application to CH4→CH3+H

The Journal of Chemical Physics ◽

10.1063/1.464474 ◽

1993 ◽

Vol 98 (11) ◽

pp. 8673-8679 ◽

Cited By ~ 20

Author(s):

S. H. Robertson ◽

A. I. Shushin ◽

D. M. Wardlaw

Keyword(s):

Differential Equation ◽

Master Equation ◽

Two Dimensional ◽

Type Differential Equation

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A maximum principle for optimal control for a class of controlled systems

The Journal of the Australian Mathematical Society Series B Applied Mathematics ◽

10.1017/s0334270000000564 ◽

1996 ◽

Vol 38 (2) ◽

pp. 172-181

Author(s):

Wensheng Xu

Keyword(s):

Differential Equation ◽

Optimal Control ◽

Maximum Principle ◽

Closed Loop ◽

Point Boundary ◽

Type Problem ◽

Controlled Systems ◽

Type Differential Equation ◽

Special Case ◽

Loop Form

AbstractApplying Ekeland's variational principle in this paper, we obtain a maximum principle for optimal control for a class of two-point boundary value controlled systems. The control domain need not be convex. For a special case, that is the so called LQ-type problem, we obtain the optimal control in the closed loop form and a corresponding Riccati type differential equation.

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