Results 1 to 10 of about 2,948 (219)
CONVEXITY OF REACHABLE SETS OF QUASILINEAR SYSTEMS [PDF]
Ural Mathematical Journal, 2023 This paper investigates convexity of reachable sets for quasilinear systems under integral quadratic constraints. Drawing inspiration from B.T. Polyak's work on small Hilbert ball image under nonlinear mappings, the study extends the analysis to ...
Ivan Osipov
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Poincaré chaos for a hyperbolic quasilinear system [PDF]
Miskolc Mathematical Notes, 2019 Summary: The existence of unpredictable motions in systems of quasilinear differential equations with hyperbolic linear part is rigorously proved. We make use of the topology of uniform convergence on compact sets and the contraction mapping principle to prove the existence of unpredictable motions.
Akhmet, M. +3 more
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The quasilinear Schrödinger–Poisson system
Journal of Mathematical Physics, 2023 This paper deals with the (p, q)-Schrödinger–Poisson system, which is new and has never been considered in the literature. The uniqueness of solutions of the quasilinear Poisson equation is obtained via the Minty–Browder theorem. The variational framework of the quasilinear system is built, and nontrivial solutions of the system are obtained via the ...
Yao Du, Jiabao Su, Cong Wang
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Bending of flexible round plates [PDF]
E3S Web of Conferences, 2021 In this paper, schemes for constructing solutions to boundary value problems for static calculation of flexible circular plates with the nonlinear theory of Lyava and Volmyr are presented. From the equations of the equilibrium system of the plates, given
Yuldashev Adash +3 more
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Regularity and uniqueness in quasilinear parabolic systems [PDF]
Applications of Mathematics, 2011 Preprint: Weierstraß-Institut für Angewandte Analysis und Stochastik, vol ...
Krejčí, Pavel, Panizzi, Lucia
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On Lyapunov-type inequality for a class of quasilinear systems
Electronic Journal of Qualitative Theory of Differential Equations, 2014 In this paper, we establish a new Lyapunov-type inequality for quasilinear systems. Our result in special case reduces to the result of Watanabe et al. [J. Inequal. Appl. 242(2012), 1-8]. As an application, we also obtain lower bounds for the eigenvalues
Devrim Cakmak
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Advanced Nonlinear Studies, 2021 The aim of this paper is investigating the existence of one or more weak solutions of the coupled quasilinear elliptic system of gradient ...
Candela Anna Maria +2 more
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Rocky Mountain Journal of Mathematics, 1997 The authors consider the Dirichlet problem for the quasilinear system \[ -\Delta_p u = F_u(u,v), \quad\Delta_q v = F_v(u,v), \quad \text{in} \Omega, \qquad u = v = 0, \quad \text{on} \partial \Omega, \tag{P} \] on a given bounded domain \(\Omega\subset \mathbb{R}^N\) with smooth boundary, where \(N>2 ...
Peral, I., Vorst, R.C.A.M. van der
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Life-Span of Classical Solutions to Hyperbolic Inverse Mean Curvature Flow
Discrete Dynamics in Nature and Society, 2020 In this paper, we investigate the life-span of classical solutions to hyperbolic inverse mean curvature flow. Under the condition that the curve can be expressed in the form of a graph, we derive a hyperbolic Monge–Ampère equation which can be reduced to
Zenggui Wang
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An Eigenvalue Problem for Quasilinear Systems
Rocky Mountain Journal of Mathematics, 2007 This paper deals with the existence of positive solutions for the \(n\)-dimensional quasilinear system \[ ({\mathbf \Phi}({\mathbf u}'))' + \lambda {\mathbf h}(t) {\mathbf f}({\mathbf u}) = 0, \quad 0 < t < 1 \] with the boundary condition \({\mathbf u}(0)={\mathbf u}(1)=0\), where \({\mathbf u}=(u_1,\dots,u_n)\), \({\mathbf \Phi}({\mathbf u ...
Henderson, Johnny, Wang, Haiyan
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