Results 111 to 120 of about 129,784 (278)
In this paper, we study the existence of nodal solutions of some nonlinear boundary value problems for ordinary differential equations of fourth order with a spectral parameter in the boundary condition.
Ziyatkhan Aliyev, Yagut Aliyeva
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Positive periodic solutions and nonlinear eigenvalue problems for functional differential equations
This paper is devoted to investigate the existence of positive periodic solution for a functional differential equation in the form of $\lambda\mathbb{L}x=-b(t)f(x(t-\tau(t))),$ where $\mathbb{L}x=x'(t)-a(t)g(x(t))x(t)$.
Xuemei Zhang
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Quantifying Model Selection Uncertainty in Structural Analysis: Methodology and Application
ABSTRACT With increasing focus on complex engineering systems under rare events, computational models are critical for predictions due to the scarcity or absence of data. However, selecting an appropriate model can be challenging. Using a single model without available test calibration could result in significant bias in performance predictions. A case
Ya‐Heng Yang, Tracy C. Becker
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We show that nonconstant eigenfunctions of the $p$-Laplacian do not necessarily have an average value of 0, as they must when $p=2$. This fact has implications for deriving a sharp variational characterization of the second eigenvalue for a general class
Stephen B. Robinson
doaj
ABSTRACT Iterative solvers are advantageous for handling nonlinear structural analysis problems. The iterative solvers often require updating the stiffness matrix, which limits their application in static and pseudo‐dynamic hybrid simulations because: (1) updating the stiffness matrix of a system involving a physical specimen is challenging; (2 ...
Junyan Xiao, Oh‐Sung Kwon, Evan Bentz
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Existence of positive solutions for two nonlinear eigenvalue problems
We study the existence of positive solutions for the following two nonlinear eigenvalue problems $$displaylines{ Delta u-g(.,u)u+lambda f(.,u)u=0, cr Delta u-g(.,u)u+lambda f(.,u)=0, }$$ in a bounded regular domain in $mathbb{R}^{2}$ with $u=0$ on the ...
Nedra Belhaj Rhouma, Lamia Maatoug
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This study analyzes energy consumption and economic growth across 39 Sub‐Saharan African countries using a PVAR model. Findings reveal that non‐renewable energy and labor force growth stimulate economic growth, while renewable energy does not stimulate economic growth in the short run.
Amadou Cham +4 more
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An adaptive fuzzy controller using an interval type‐3 fuzzy logic system replaces the SMC switching term to mitigate chattering while preserving global stability for islanded inverters. Simulations show lower THD, greater robustness to disturbances and parameter variations, and improved voltage‐tracking accuracy, with applicability to other uncertain ...
Man‐Wen Tian +7 more
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Basic results on nonlinear eigenvalue problems of fractional order
In this article, we discuss the basic theory of boundary-value problems of fractional order $1 < delta < 2$ involving the Caputo derivative. By applying the maximum principle, we obtain necessary conditions for the existence of eigenfunctions ...
Mohammed Al-Refai
doaj
Parameters and solutions of linear and nonlinear oscillators
Relationship between existence of solutions for certain classes of nonlinear boundary value problems and the smallest or the largest eigenvalue of the corresponding linear problem is obtained.
Rina Ling
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