Results 41 to 50 of about 3,396,163 (214)
Multiple Periodic solutions and Positive Homoclinic Solution for a differential equation
Bulletin of the Belgian Mathematical Society - Simon Stevin, 2013 The authors consider the nonautonomous differential equation \[ x''-a(t)x+b(t)x^2+c(t)x^3=0, \] where \(a,b\) and \(c\) are continuous \(T\)-periodic functions and obtain two results for them. The first one gives, under certain additional hypotheses, the existence of at least two nontrivial \(T\)-periodic solutions.
de Araujo, Anderson L. A. +1 more
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Mathematical Methods in the Applied Sciences, Volume 49, Issue 13, Page 14964-15009, 15 September 2026.ABSTRACT We develop a unified mathematical framework extending classical moment theory from discrete integer orders to a continuous spectrum of real orders f>0$$ f>0 $$, providing a systematic statistical characterization of complex systems exhibiting power‐law behavior.
Farrukh A. Chishtie
wiley +1 more source
Homoclinic snaking in a neutral delay model of a transmission line oscillator [PDF]
, 2006 In a transmission line oscillator (TLO) a linear wave travels along a piece of cable, the transmission line, and interacts with terminating electrical components.
Wilson, RE, Barton, DAW, Krauskopf, B
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Journal of Applied Mathematics, 2014 Two predator-prey models with nonmonotonic functional response and state-dependent impulsive harvesting are formulated and analyzed. By using the geometry theory of semicontinuous dynamic system, we obtain the existence, uniqueness, and stability of the ...
Mingzhan Huang, Xinyu Song
doaj +1 more source
Communications on Pure and Applied Mathematics, Volume 79, Issue 9, Page 2107-2157, September 2026.ABSTRACT The leading‐order asymptotic behavior of the solution of the Cauchy initial‐value problem for the Benjamin–Ono equation in L2(R)$L^2(\mathbb {R})$ is obtained explicitly for generic rational initial data u0$u_0$. An explicit asymptotic wave profile uZD(t,x;ε)$u^\mathrm{ZD}(t,x;\epsilon)$ is given, in terms of the branches of the multivalued ...
Elliot Blackstone +3 more
wiley +1 more source
On periodic solutions in the non-dissipative Lorenz model: the role of the nonlinear feedback loop
Tellus: Series A, Dynamic Meteorology and Oceanography, 2018 In this study, we discuss the role of the linear heating term and nonlinear terms associated with a non-linear feedback loop in the energy cycle of the three-dimensional (X–Y–Z) non-dissipative Lorenz model (3D-NLM), where (X, Y, Z) represent the ...
B.-W. Shen
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Homoclinic solutions for second order Hamiltonian systems with general potentials near the origin
Electronic Journal of Qualitative Theory of Differential Equations, 2013 In this paper, we study the existence of infinitely many homoclinic solutions for a class of second order Hamiltonian systems with general potentials near the origin. Recent results from the literature are generalized and significantly improved.
Qingye Zhang
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Mathematical Modeling of Pulse‐Seeded Metapopulation Dynamics for Andes Hantavirus Border Dispersal
Engineering Reports, Volume 8, Issue 9, September 2026.A pulse‐seeded metapopulation SEIR model for Andes hantavirus maritime dispersal shows that heterogeneous quarantine compliance determines secondary outbreak risk. The weakest‐compliance country governs global containment, while uniform compliance above ∼65%$$ \sim 65\% $$ reduces the global reproduction number below unity.
Gideon K. Gogovi, Paul Chataa
wiley +1 more source
Discrete embedded solitons [PDF]
, 2005 We address the existence and properties of discrete embedded solitons (ESs), that is localised waves existing inside the phonon band in a nonlinear dynamical-lattice model. The model describes a one-dimensional array of optical waveguides with both Chi(2)
Yagasaki, Y +3 more
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Homoclinic Solutions of an Integral Equation: Existence and Stability
Journal of Differential Equations, 1999 The authors study (stationary) evolution equation in the form of the following nonlinear convolution type integral equation \[ (J\ast u)(x)- u(x)-f[u(x)]=0,\tag{1} \] with the condition \(u(\pm \infty)=0.\) It is assumed, that \(J(z)\geq 0\), \(\int J(z) dz =1\) and \(f\) is bistable. They construct homoclinic (even) solutions to the equation (1).
Chmaj, Adam, Ren, Xiaofeng
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