Monotonicity of the period function for \(u-u+u^p=0\) with \(p\in \mathbb R\) and \(p>1\)

DOI10.1016/j.jde.2013.06.002zbMath1292.34039OpenAlexW60552573MaRDI QIDQ2434379

Kazuyuki Yagasaki

Publication date: 5 February 2014

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jde.2013.06.002

zbMATH Keywords

monotonicityNeumann problemperiod function

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Periodic solutions to ordinary differential equations (34C25) Bifurcation theory for ordinary differential equations (34C23)

Related Items

Monotonicity of the period of a nonlinear oscillator, Periodic waves in the fractional modified Korteweg-de Vries equation, Gagliardo-Nirenberg-Sobolev inequalities on planar graphs, Periodic Waves of the Modified KdV Equation as Minimizers of a New Variational Problem, Study of the period function of a two-parameter family of centers, Asymptotic development of an integral operator and boundedness of the criticality of potential centers, Energy transfer between modes in a nonlinear beam equation, On the upper bound of the criticality of potential systems at the outer boundary using the Roussarie-Ecalle compensator, Orbital stability of smooth solitary waves for the \(b\)-family of Camassa-Holm equations, The criticality of centers of potential systems at the outer boundary, Isolated periodic wave trains and local critical wave lengths for a nonlinear reaction-diffusion equation, Complex dynamics in one-dimensional nonlinear Schrödinger equations with stepwise potential, Analytic tools to bound the criticality at the outer boundary of the period annulus

Cites Work

• Unnamed Item
• Unnamed Item
• Monotonicity of the first eigenvalue and the global bifurcation diagram for the branch of interior peak solutions
• The period function for quadratic integrable systems with cubic orbits
• Initiation of slime mold aggregation viewed as an instability
• The period function of potential systems of polynomials with real zeros
• Nonlinear oscillations, dynamical systems, and bifurcations of vector fields
• A remark on the period of the periodic solution in the Lotka-Volterra system
• The period in the Lotka-Volterra system is monotonic
• The monotonicity of the period function for planar Hamiltonian vector fields
• Large amplitude stationary solutions to a chemotaxis system
• The period function of a Hamiltonian quadratic system
• On the period function of \(x^{\prime\prime}+f(x)x^{\prime2}+g(x)=0\)
• Period function for a class of Hamiltonian systems
• The period function for second-order quadratic ODEs is monotone
• The monotonicity of period function for the codimension four quadratic system \(Q_4\).
• The period function of the generalized Lotka-Volterra centers
• Properties of the period function for some Hamiltonian systems and homogeneous solutions of a semilinear elliptic equation
• The periods of the Volterra-Lotka system.
• On the reversible quadratic centers with monotonic period function
• A note on the period function for certain planar vector fields
• A class of Hamiltonian systems with increasing periods.
• On the Neumann Problem for Some Semilinear Elliptic Equations and Systems of Activator-Inhibitor Type
• Semilinear Neumann boundary value problems on a rectangle
• The period function of hyperelliptic Hamiltonians of degree 5 with real critical points
• On the period function of planar systems with unknown normalizers