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ecg2o: a seamless extension of g2o for equality-constrained factor graph optimization. [PDF]
Abdelkarim A, Görges D, Voos H.
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A deep neural network model for heat transfer in darcy-forchheimer hybrid nanofluid flow with activation energy. [PDF]
Ayman-Mursaleen M +4 more
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Stability and control mechanism of nonlinear horizontal vibration for rolling system with gyroscope precession effect. [PDF]
Sun C +5 more
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Solutions of Nonlinear Operator Equations
SIAM Journal on Mathematical Analysis, 1977Some theorems concerning existence and uniqueness of zeros of operator polynomials are given. Under certain hypotheses we show the existence of complete pairs of zeros. A numerical example is given applying the theorems.
Lancaster, Peter, Rokne, Jon G.
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Nonlinear operator differential equations
Nonlinear Analysis: Theory, Methods & Applications, 1997Under homogeneous initial conditions with respect to \(t\), the equation \[ (\partial^{2+ q}/\partial x^2\partial t^q)u(x,t)+ A(\partial^p/\partial t^p)u(x,t)+ B_0\int^t_0 u(x,\tau)u(x, t-\tau)d\tau= f(x,t) \] is considered as a differential equation with respect to \(x\) in the operator field of Mikusiński.
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Corrected Operator Splitting for Nonlinear Parabolic Equations
SIAM Journal on Numerical Analysis, 2000The paper concerns a corrected operator splitting method for solving nonlinear parabolic equations of convection-diffusion type. It is shown that the method generates a compact sequence of approximate solutions which converges to the solution of the problem.
Karlsen, Kenneth Hvistendahl +1 more
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Nonlinear equations with differentiable operators
1994Let \( \mathfrak{D} \) be a topological space. Assume that F is an operator defined from \( \mathfrak{D} \) into \( \mathfrak{D} \), i.e., $$ F\left( \mathfrak{D} \right) \subseteq \mathfrak{D} $$ (1)
Victor Khatskevich, David Shoiykhet
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SCATTERING OPERATOR FOR NONLINEAR KLEIN–GORDON EQUATIONS
Communications in Contemporary Mathematics, 2009We prove the existence of the scattering operator in [Formula: see text] in the neighborhood of the origin for the nonlinear Klein–Gordon equation with a power nonlinearity [Formula: see text] where [Formula: see text]μ ∈ C, n=1,2.
Hayashi, Nakao, Naumkin, Pavel I.
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