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Unilateral Global Interval Bifurcation for the Hessian Equation and Its Applications [PDF]

Discrete Dynamics in Nature and Society, 2020
In this paper, we establish a unilateral global bifurcation result from the interval for the k-Hessian equations with nondifferentiable nonlinearity. By applying the above result, we shall prove the existence of the principal half-eigenvalues for the ...
Wenguo Shen
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On bifurcation intervals for nonlinear eigenvalue problems [PDF]

Annales Polonici Mathematici, 1999
Summary: We give a sufficient condition for \([\mu- M,\mu+ M]\times \{0\}\) to be a bifurcation interval of the equation \(u= L(\lambda u+ F(u))\), where \(L\) is a linear symmetric operator in a Hilbert space, \(\mu\in r(L)\) is of odd multiplicity, and \(F\) is a nonlinear operator.
( Kraków, Jolanta Przybycin
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An Effective Algorithm for the Stability and Bifurcation in a DDE Model of Gene Expression

Applied Sciences, 2023
The stability and Hopf bifurcation of gene expression models with a mechanism of delayed state feedback are considered. An effective algorithm for the calculations on the delay stable interval of the equilibrium point, the direction, and stability of the
Chao Fu, Lei Zhang, Hong Yu
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Middle cerebral artery bifurcation aneurysms are associated with patient age, sex, bifurcation angle, and vascular diameters

Scientific Reports, 2023
To investigate the relationship of the middle cerebral artery (MCA) bifurcation aneurysms with patients’ age and sex, vascular angles at the bifurcation, and diameters of the M1 and two M2 arteries, patients with and without MCA aneurysms were ...
Shu Wang, Li Li, Huili Gao, Kun Zhang, Qiu-Ji Shao, Tianxiao Li, Bulang Gao   +6 more
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Global bifurcation from intervals for Sturm-Liouville problems which are not linearizable

Electronic Journal of Qualitative Theory of Differential Equations, 2013
In this paper, we study unilateral global bifurcation which bifurcates from the trivial solutions axis or from infinity for nonlinear Sturm--Liouville problems of the form \begin{equation} \left\{ \begin{array}{l} -\left(pu'\right)'+qu=\lambda au+af\left(
Guowei Dai
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Clinical Implications of Bifurcation Angles in Left Main Bifurcation Intervention Using a Two-Stent Technique

Journal of Interventional Cardiology, 2020
Objectives. The aim of this study was to assess the clinical impact of 3 bifurcation angles in left main (LM) bifurcation treated with the 2-stent technique. Background.
You-Jeong Ki, Ji Hyun Jung, Jung-Kyu Han, Sukkeun Hong, Jang Hyun Cho, Hyeon-Cheol Gwon, Sung Yun Lee, Jay Young Rhew, Jei Keon Chae, In-Ho Chae, Han-Mo Yang, Kyung Woo Park, Hyun-Jae Kang, Bon-Kwon Koo, Hyo-Soo Kim   +14 more
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Global interval bifurcation and convex solutions for the Monge-Ampere equations

Electronic Journal of Differential Equations, 2018
In this article, we establish the global bifurcation result from the trivial solutions axis or from infinity for the Monge-Ampere equations with non-differentiable nonlinearity. By applying the above result, we shall determine the interval of $\gamma$
Wenguo Shen
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Multiple global bifurcation branches for nonlinear Picard problems [PDF]

Electronic Journal of Qualitative Theory of Differential Equations, 2009
In this paper we prove the global bifurcation theorem for the nonlinear Picard problem. The right-hand side function $\varphi$ is a Caratheodory map, not differentiable at zero, but behaving in the neighbourhood of zero as specified in details below.
J. Gulgowski
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Impact of Middle Cerebral Artery Branching Patterns on Mechanical Thrombectomy Outcomes for M1 Occlusion [PDF]

Neurologia Medico-Chirurgica
Anatomical variations in the middle cerebral artery affect outcomes of mechanical thrombectomy in M1 occlusion cases. However, the relationship between middle cerebral artery branching patterns―specifically trifurcation and bifurcation―and mechanical ...
Ryohei TSUCHIE, Yukishige HASHIMOTO, Masaru ABIKO, Reo KAWANO, Nobutaka HORIE   +4 more
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Bifurcation from zero or infinity in nonlinearizable Sturm–Liouville problems with indefinite weight

Electronic Journal of Qualitative Theory of Differential Equations, 2021
In this paper, we consider bifurcation from zero or infinity of nontrivial solutions of the nonlinear Sturm–Liouville problem with indefinite weight. This problem is mainly important because of it is related with a selection-migration model in genetic ...
Ziyatkhan Aliyev, Leyla Nasirova
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