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A procedure for obtaining the initial value of the costate in a regular, finite-horizon, nonlinear-quadratic problem is devised in dimension one. The optimal control can then be constructed from the solution to the Hamil...

Equations of parabolic type are encountered in many areas of mathematics and mathematical physics, and those encountered most frequently are linear and quasi-linear parabolic equations of the second order. In this volume...

Materie / parole chiave: partial differential equations, boundary and initial value problems, non-linear analysis, applied mathematics; Technology: Technology (General): Industrial engineering. Management engineering: Applied mathematics. Quanti...

Abstract This paper investigates the initial-boundary value problem for quasilinear strictly hyperbolic systems of diagonal form with characteristics which are partially linearly degenerate and partially weakly linearly ...

Abstract In this paper, we investigate the dynamical behaviour and soliton solutions of the M-fractional Kairat-II equation. Initially, soliton solutions are obtained using the new extended direct algebraic method. To en...

Maxwell's equations are replaced by a set of finite difference equations. It is shown that if one chooses the field points appropriately, the set of finite difference equations is applicable for a boundary condition invo...