Nonlinear partial differential equations

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  • part 2 book “handbook of mathematics for engineers and scientists” has contents: nonlinear partial differential equations, integral equations, difference equations and other functional equations, special functions and their properties, calculus of variations and optimization, probability theory, mathematical statistics,… and other contents.

    pdf858p tieu_vu13 06-08-2018 12 0   Download

  • Sufficient conditions for the Lp-equivalence between two nonlinear impulse differential equations with unbounded linear parts and possibly unbounded nonlinearity parts are given. An example of two nonlinear impulse differential parabolic equations is considered.

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  • The method is an extension of the unified Kry lov-Bogoliubov-Mitropolskii method , which was initially developed for un-darn ped , under-clamped and over-clamped cases of the second order ordinary different ia l equation. The methods also cover a special condition of the over-damped case in which the general solution is useless.

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  • The fifth edition of this classic book continues its excellence in teaching numerical analysis and techniques. Interesting and timely applications motivate an understanding of methods and analysis of results. Suitable for students with mathematics and engineering backgrounds, the breadth of topics (partial differential equations, systems of nonlinear equations, and matrix algebra), provide comprehensive and flexible coverage of all aspects of all numerical analysis.

    pdf772p chipmoon 19-07-2012 144 42   Download

  • We present a solution of the Weiss operator family generalized for the case of Rd and formulate a dimensional analogue of the Weiss Theorem. Most importantly, the generalization of the Weiss Theorem allows us to find a subset of null class functions for a partial differential equation with the generalized Weiss operators.

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  • (bq) part 2 book "numerical analysis" has content: iterative techniques in matrix algebra, approximation theory, approximation theory, numerical solutions of nonlinear systems of equations, boundary value problems for ordinary differential equations, numerical solutions to partial differential equations.

    pdf447p bautroibinhyen19 02-03-2017 25 4   Download

  • This paper focuses on boundary control of distributed parameter systems (also called infinite dimensional systems). More precisely, a passivity based approach for the stabilization of temperature profile inside a well-insulated bar with heat conduction in a one-dimensional system described by parabolic partial differential equations (PDEs) is developed.

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  • We present the solution of a second-order nonlinear parabolic interface problem on a quasiuniform triangular finite element with a linearized four-step implicit scheme used for the time discretization. The convergence of the scheme in L2-norm is established under certain regularity assumptions using interpolation and elliptic projection operators.

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  • A linear-like discrete-time fuzzy controller was designed to control and stabilize a single-pool irrigation canal. Saint Venant equations for open-channel flow were linearized using the Taylor series and a finite-difference approximation of the original nonlinear partial differential equations.

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  • Consider a stochastic evolution equation containing Stratonovich-multiplicative white noise of the form ( , ) du Au f t u u W dt     where the partial differential operator A is positive definite, self-adjoint with a discrete spectrum; and the nonlinear part f satisfies the Lipschitz condition with  belonging to an admissible function space. We prove the existence of a (stochastic) inertial manifold for the solutions to the above equation. Our method relies on the Lyapunov-Perron equation in a combination with the admissibility of function spaces.

    pdf16p trinhthamhodang1218 18-03-2021 2 0   Download

  • Wavelets in Nonlinear Semiconductor Devices Semiconductor device behavior can be described by a system of coupled partial differential equations (PDEs) with associated boundary conditions, requiring the conservation of charge and energy. In physics one is more interested in the quantities of charge concentration, average velocity, and mean energy, for example. From an engineering standpoint, potential, fields, current, and I -V curves are the desired parameters.

    pdf53p tienvovan 18-09-2010 58 6   Download



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