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The integer-infeasible path MINLP approach has been applied to perform an efficient initialization scheme and to halve CPU times for solving MILP master problem of the modified OA/ER algorithm.
With singularities conquered, this ZG neural dynamics is able to solve the tracking-control problem of the modified Lorenz nonlinear system via additive input or mixed inputs (i.e., the mixture of additive and multiplicative inputs).
In recent years, there are much research results on the inverse problem of the modified Helmholtz equation.
Our goal in this section is to study the asymptotical behavior of the solution to the Dirichlet problem of the modified Helmholtz equation, as the frequency, or, equivalently, the wavenumber, approaches infinity.
The objective of the present paper is to consider the following Dirichlet boundary value problem of the modified Helmholtz equation in the upper half-plane Ω: △ q ( z, z ¯ ) − 4 β 2 q ( z, z ¯ ) = 0, z ∈ Ω, (1.1).
The optimum size of the ribs was determined by numerically solving the eigenvalue problem of the modified waveguide.
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In the above Theorem 4.1, the existence and uniqueness of solutions of the Riemann type problem for the modified Helmholtz equation with variable coefficient i.e., (f(mathbf{x} in H^{alpha}(partialOmega, Cl(V_{3,3}))) is illustrated.
The paper addresses control problem for the modified projective synchronization of the Genesio Tesi chaotic systems with three uncertain parameters.
Local well-posedness of the initial-value problem to the modified μ-Camassa Holm equation in the Besov space is established.
The problem assessment step of the modified EBPH framework relies heavily on modeled projections of climate change health impacts based on scenario-based global circulation model outputs linked with concentration response (exposure outcome) functions.
The present paper focuses on the Cauchy problem of the integrable modified Camassa-Holm equation with cubic nonlinearity left { textstylebegin{array}{l} m_{t}+ u^{2}-u_{x}^{2})m_{x}+ u^{2}-u_{x+gamma u_{x}^{2} md m=u-u_{xx}+2u_{x}m^{2}+gammaR}, u_{xx)=u_{0}=0),quadd xinmathbb{R}, end{array}displaystyle right.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com