Results 11 to 20 of about 142,566 (153)
Degree Theory for Second Order Nonlinear Elliptic Operators and its Applications [PDF]
Communications in Partial Differential Equations, 1989 We introduce, along the lines of [4], an integer valued degree for second order fully nonlinear elliptic operators which is invariant under homotopy within elliptic operators. We also give some applications to the bifurcation problem for nonlinear elliptic equations.
openaire +1 more source
Advances in Difference Equations, 2017 In this paper, by using the coincidence degree theory due to Mawhin and constructing suitable operators, we study the solvability for functional boundary value problems of second-order nonlinear differential equations system at resonance with dim Ker L =
Weihua Jiang, Bingzhi Sun
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Network Synthesis of Linear Dynamical Quantum Stochastic Systems [PDF]
, 2009 The purpose of this paper is to develop a synthesis theory for linear dynamical quantum stochastic systems that are encountered in linear quantum optics and in phenomenological models of linear quantum circuits.
Doherty, A. C. +2 more
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Positive Solutions for Systems of Quasilinear Equations with Non-homogeneous Operators and Weights
Advanced Nonlinear Studies, 2020 In this paper we deal with positive radially symmetric solutions for a boundary value problem containing a strongly nonlinear operator. The proof of existence of positive solutions that we give uses the blow-up method as a main ingredient for the search ...
García-Huidobro Marta +2 more
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Partial differential systems with nonlocal nonlinearities: Generation and solutions [PDF]
, 2018 We develop a method for generating solutions to large classes of evolutionary partial differential systems with nonlocal nonlinearities. For arbitrary initial data, the solutions are generated from the corresponding linearized equations.
Beck, Margaret +3 more
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A Problem Concerning Yamabe-Type Operators of Negative Admissible Metrics
Journal of Applied Mathematics, 2012 This paper is about a problem concerning nonlinear Yamabe-type operators of negative admissible metrics. We first give a result on σk Yamabe problem of negative admissible metrics by virtue of the degree theory in nonlinear functional analysis and the ...
Jin Liang, Huan Zhu
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Solvability of resonance problems for nonlinear q-difference equations on infinite intervals [PDF]
Journal of Hebei University of Science and TechnologyIn order to develop the basic theory of resonance boundary value problems for nonlinear quantum difference equations, a class of nonlinear quantum difference equation boundary value problems at resonance on infinite intervals was studied.
Changlong YU +3 more
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Microformal geometry and homotopy algebras [PDF]
, 2018 We extend the category of (super)manifolds and their smooth mappings by introducing a notion of microformal or "thick" morphisms. They are formal canonical relations of a special form, constructed with the help of formal power expansions in cotangent ...
Voronov, Theodore
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The Cauchy problem for a tenth-order thin film equation II. Oscillatory source-type and fundamental similarity solutions [PDF]
, 2014 Fundamental global similarity solutions of the standard form u_\g(x,t)=t^{-\a_\g} f_\g(y), with the rescaled variable y= x/{t^{\b_\g}}, \b_\g= \frac {1-n \a_\g}{10}, where \a_\g>0 are real nonlinear eigenvalues (\g is a multiindex in R^N) of the tenth ...
Alvarez-Caudevilla, Pablo +2 more
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Feedback control of quantum state reduction [PDF]
, 2004 Feedback control of quantum mechanical systems must take into account the probabilistic nature of quantum measurement. We formulate quantum feedback control as a problem of stochastic nonlinear control by considering separately a quantum filtering ...
Mabuchi, Hideo +2 more
core +4 more sources