Results 41 to 50 of about 7,871 (265)
A one dimensional Hammerstein problem
Electronic Journal of Differential Equations, 1999 Nonlinear equations of the form $L[u]=lambda g(u)$ where $L$ is a linear operator on a function space and $g$ maps $u$ to the composition function $gcirc u$ arise in the theory of spontaneous combustion.
Jun Hua, James L. Moseley
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Positive Solutions for Nonlinear q-Fractional Difference Eigenvalue Problem with Nonlocal Conditions
Abstract and Applied Analysis, 2015 The problem of positive solutions for nonlinear q-fractional difference eigenvalue problem with nonlocal boundary conditions is investigated. Based on the fixed point index theory in cones, sufficient existence of positive solutions conditions is derived
Wafa Shammakh, Maryam Al-Yami
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What Do You Mean by “Nonlinear Eigenvalue Problems”?
Axioms, 2018 A nonlinear eigenvalue problem is generally described by an equation of the form F(λ,x)=0, where F(λ,0)=0 for all λ, and contains by definition two unknowns: the eigenvalue parameter λ and the “nontrivial” vector(s)
Raffaele Chiappinelli
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On a nonhomogeneous, nonlinear Dirichlet eigenvalue problem
Mathematische Nachrichten, 2023 AbstractWe consider a nonlinear eigenvalue problem for the Dirichlet ‐Laplacian with a sign‐changing Carathodory reaction. Using variational tools, truncation and comparison techniques, and critical groups, we prove an existence and multiplicity result which is global in the parameter (bifurcation‐type theorem).
Liu, Zhenhai, Papageorgiou, Nikolaos S.
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A Unifying Approach to Self‐Organizing Systems Interacting via Conservation Laws
Advanced Intelligent Discovery, EarlyView.The article develops a unified way to model and analyze self‐organizing systems whose interactions are constrained by conservation laws. It represents physical/biological/engineered networks as graphs and builds projection operators (from incidence/cycle structure) that enforce those constraints and decompose network variables into constrained versus ...
F. Barrows +7 more
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On the Solution of the Eigenvalue Assignment Problem for Discrete-Time Systems
Journal of Applied Mathematics, 2017 The output feedback eigenvalue assignment problem for discrete-time systems is considered. The problem is formulated first as an unconstrained minimization problem, where a three-term nonlinear conjugate gradient method is proposed to find a local ...
El-Sayed M. E. Mostafa +2 more
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Journal of Inequalities and Applications, 2016 Some sufficient conditions are proposed in this paper such that the nonlinear eigenvalue problem with an irreducible singular M-matrix has a unique positive eigenvector.
Cheng-yi Zhang +2 more
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Advanced Intelligent Discovery, EarlyView.This article investigates how persistent homology, persistent Laplacians, and persistent commutative algebra reveal complementary geometric, topological, and algebraic invariants or signatures of real‐world data. By analyzing shapes, synthetic complexes, fullerenes, and biomolecules, the article shows how these mathematical frameworks enhance ...
Yiming Ren, Guo‐Wei Wei
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Eigenvalue problem for nonlinear elastic beam equation of fractional order
Nonlinear Analysis, 2017 In this study, under some suitable assumptions, we determine an explicit eigenvalue interval for the existence of positive solution of singular fractional-order nonlinear elastic beam equation with bending term.
Neda Khodabakhshi, S. Mansour Vaezpour
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Explaining the Origin of Negative Poisson's Ratio in Amorphous Networks With Machine Learning
Advanced Intelligent Discovery, EarlyView.This review summarizes how machine learning (ML) breaks the “vicious cycle” in designing auxetic amorphous networks. By transitioning from traditional “black‐box” optimization to an interpretable “AI‐Physics” closed‐loop paradigm, ML is shown to not only discover highly optimized structures—such as all‐convex polygon networks—but also unveil hidden ...
Shengyu Lu, Xiangying Shen
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