Results 111 to 120 of about 18,337 (169)

Solutions of Nonlinear Operator Equations

SIAM Journal on Mathematical Analysis, 1977
Some 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.
openaire   +2 more sources

Nonlinear operator differential equations

Nonlinear Analysis: Theory, Methods & Applications, 1997
Under 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.
openaire   +2 more sources

Corrected Operator Splitting for Nonlinear Parabolic Equations

SIAM Journal on Numerical Analysis, 2000
The 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
openaire   +2 more sources

Nonlinear equations with differentiable operators

1994
Let \( \mathfrak{D} \) 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
openaire   +1 more source

SCATTERING OPERATOR FOR NONLINEAR KLEIN–GORDON EQUATIONS

Communications in Contemporary Mathematics, 2009
We 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.
openaire   +2 more sources

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