Academic literature on the topic 'One-sided superlinear growth'

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Journal articles on the topic "One-sided superlinear growth"

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Liu, Chunlian. "Non-resonance with one-sided superlinear growth for indefinite planar systems via rotation numbers." AIMS Mathematics 7, no. 8 (2022): 14163–86. http://dx.doi.org/10.3934/math.2022781.

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<abstract><p>We consider the non-resonance with one-sided superlinear growth conditions for the indefinite planar system $ z' = f(t, z) $ from a rotation number viewpoint, and obtain the existence of $ 2\pi $-periodic solutions by applying a rotation number approach together with the Poincaré-Bohl theorem. We allow that the angular velocity of solutions of $ z' = f(t, z) $ is controlled by the angular velocity of solutions of two positively homogeneous and oddly symmetric systems $ z' = L_i(t, z), i = 1, 2 $ on the left half-plane, which have rotation numbers that satisfy $ \rho(L_
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Zhang, Keyu, Yaohong Li, Jiafa Xu, and Donal O'Regan. "Nontrivial solutions for a fourth-order Riemann-Stieltjes integral boundary value problem." AIMS Mathematics 8, no. 4 (2023): 9146–65. http://dx.doi.org/10.3934/math.2023458.

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<abstract><p>In this paper we study a fourth-order differential equation with Riemann-Stieltjes integral boundary conditions. We consider two cases, namely when the nonlinearity satisfies superlinear growth conditions (we use topological degree to obtain an existence theorem on nontrivial solutions), when the nonlinearity satisfies a one-sided Lipschitz condition (we use the method of upper-lower solutions to obtain extremal solutions).</p></abstract>
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MENG, Xuejing, and Linfeng LYU. "Convergence Rates for the Truncated Euler-Maruyama Method for Nonlinear Stochastic Differential Equations." Wuhan University Journal of Natural Sciences 28, no. 5 (2023): 399–410. http://dx.doi.org/10.1051/wujns/2023285399.

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In this paper, our main aim is to investigate the strong convergence rate of the truncated Euler-Maruyama approximations for stochastic differential equations with superlinearly growing drift coefficients. When the diffusion coefficient is polynomially growing or linearly growing, the strong convergence rate of arbitrarily close to one half is established at a single time T or over a time interval [0,T], respectively. In both situations, the common one-sided Lipschitz and polynomial growth conditions for the drift coefficients are not required. Two examples are provided to illustrate the theor
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Boscaggin, Alberto, and Fabio Zanolin. "Pairs of Nodal Solutions for a Class of Nonlinear Problems with One-sided Growth Conditions." Advanced Nonlinear Studies 13, no. 1 (2013). http://dx.doi.org/10.1515/ans-2013-0103.

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AbstractBoundary value problems of Sturm-Liouville and periodic type for the second order nonlinear ODE uʺ + λf(t, u) = 0 are considered. Multiplicity results are obtained, for λ positive and large, under suitable growth restrictions on f(t, u) of superlinear type at u = 0 and of sublinear type at u = ∞. Only one-sided growth conditions are required. Applications are given to the equation uʺ + λq(t)f(u) = 0, allowing also a weight function q(t) of nonconstant sign.
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Fonda, Alessandro, Natnael Gezahegn Mamo, and Andrea Sfecci. "An extension of the Poincaré–Birkhoff Theorem to systems involving Landesman–Lazer conditions." Ricerche di Matematica, July 15, 2024. http://dx.doi.org/10.1007/s11587-024-00875-4.

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AbstractWe provide multiplicity results for the periodic problem associated with Hamiltonian systems coupling a system having a Poincaré–Birkhoff twist-type structure with a system presenting some asymmetric nonlinearities, with possible one-sided superlinear growth. We investigate nonresonance, simple resonance and double resonance situations, by implementing some kind of Landesman–Lazer conditions.
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Dissertations / Theses on the topic "One-sided superlinear growth"

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Sfecci, Andrea. "Some existence results for boundary value problems : a promenade along resonance." Doctoral thesis, SISSA, 2012. http://hdl.handle.net/20.500.11767/4703.

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I present many existence result to many boundary value problems, in particular periodic problems and Neumann elliptic problems. The results use the method of the topological degree theory. In the thesis different problems are treated: planar systems, systems with a singularity, impact oscillators, coupled oscillators and radial elliptic problems.
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