Results 81 to 90 of about 159,722 (293)
Eigenvalue Problem of Nonlinear Semipositone Higher Order Fractional Differential Equations
We study the eigenvalue interval for the existence of positive solutions to a semipositone higher order fractional differential equation = = where , , , , satisfying , is the standard Riemann-Liouville derivative, , and is allowed to be ...
Jing Wu, Xinguang Zhang
doaj +1 more source
Variational calculation of the period of nonlinear oscillators
The problem of calculating the period of second order nonlinear autonomous oscillators is formulated as an eigenvalue problem. We show that the period can be obtained from two integral variational principles dual to each other.
Benguria, R. D., Depassier, M. C.
core +1 more source
Modeling and parameter estimation for fractional large‐scale interconnected Hammerstein systems
Abstract This paper addresses the challenge of modeling and identifying large‐scale interconnected systems exhibiting memory effects, hereditary properties, and non‐local interactions. We propose a fractional‐order extension of the Hammerstein architecture that incorporates Grünwald–Letnikov operators to capture complex dynamics through multiple ...
Mourad Elloumi +2 more
wiley +1 more source
A generalized Lyapunov inequality for a higher-order fractional boundary value problem
In the paper, we establish a Lyapunov inequality and two Lyapunov-type inequalities for a higher-order fractional boundary value problem with a controllable nonlinear term. Two applications are discussed.
Dexiang Ma
doaj +1 more source
The invariant manifold approach applied to nonlinear dynamics of a rotor-bearing system
The invariant manifold approach is used to explore the dynamics of a nonlinear rotor, by determining the nonlinear normal modes, constructing a reduced order model and evaluating its performance in the case of response to an initial condition.
Cameron +32 more
core +3 more sources
Nonlinear Elliptic Eigenvalue Problems with Discontinuities
Existence of nontrivial solutions to two nonlinear eigenvalue problems with discontinuous nonlinearities is proved in this paper. The first one is given by \(-\Delta_p\in \lambda[f_0(x,u), f_1(x,u)]\) in \(D\), \(u=0\) on \(\partial D\), where \(D\) is a smooth bounded domain in \(\mathbb{R}^N\), \(p\geq 2\), \(\lambda\) is a real parameter and \(f_0(x,
Hu, Shouchuan +2 more
openaire +1 more source
Abstract The linear‐quadratic regulator (LQR) problem of optimal control of an uncertain discrete‐time linear system (DTLS) is revisited in this paper from the perspective of Tikhonov regularization. We show that an optimally chosen regularization parameter reduces, compared to the classical LQR, the values of a scalar error function, as well as the ...
Fernando Pazos, Amit Bhaya
wiley +1 more source
Maximum Principle and generalized principal eigenvalue for degenerate elliptic operators [PDF]
We characterize the validity of the Maximum Principle in bounded domains for fully nonlinear degenerate elliptic operators in terms of the sign of a suitably defined generalized principal eigenvalue.
Berestycki, Henri +3 more
core
Existence and Uniqueness of Solutions to a Nonlocal Equation with Monostable Nonlinearity
Let $J \in C(\mathbb{R})$, $J\ge 0$, $\int_{\tiny$\mathbb{R}$} J = 1$ and consider the nonlocal diffusion operator $\mathcal{M}[u] = J \star u - u$. We study the equation $\mathcal{M} u + f(x,u) = 0$, $u \ge 0$, in $\mathbb{R}$, where $f$ is a KPP-type ...
Juan Dávila +4 more
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ABSTRACT With the increasing demand for high‐quality agricultural products, the agricultural cold‐chain logistics packaging (ACLP) industry faces significant environmental pressure and circular economy issues. This study analyzes the critical success factors (CSFs) that would enhance ACLP circular economy performance (CEP). The adversarial interpretive
Miao Su +3 more
wiley +1 more source

