On a Three-Step Method with the Order of Convergence 1 + 2$$ \sqrt{2} $$ for the Solution of Systems of Nonlinear Operator Equations
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DOI: 10.1007/s10958-017-3279-6
Abstract: We propose a three-step modification of a method with an order of convergence 1+ 2$$ \sqrt{2} $$ aimed at the solution of nonlinear operator equations. We prove that the method is convergent and estimate its… read more here.
Keywords: three step; order convergence; operator equations; nonlinear operator ... See more keywords
An open mapping theorem for nonlinear operator equations associated with elliptic complexes
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DOI: 10.1080/00036811.2021.2021190
Abstract: Let {A, E} be the elliptic complex on a n-dimensional smooth closed Riemannian manifold X with the first order differential operators A and smooth vector bundles E over X. We consider nonlinear operator equations, associated… read more here.
Keywords: order; nonlinear operator; differential operators; equations associated ... See more keywords
The Existence of Radial Solutions to the Schrödinger System Containing a Nonlinear Operator
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DOI: 10.3390/axioms11060282
Abstract: In this paper, we investigate a class of nonlinear Schrödinger systems containing a nonlinear operator under Osgood-type conditions. By employing the iterative technique, the existence conditions for entire positive radial solutions of the above problem… read more here.
Keywords: radial solutions; nonlinear operator; containing nonlinear; schr dinger ... See more keywords