Results 91 to 100 of about 195,496 (282)
Nonlinear Analysis, 2013 In this paper, we study the existence and uniqueness of solutions for a singular system of nonlinear fractional differential equations with integral boundary conditions.
Lin Wang, Xingqiu Zhang, Xinyi Lu
doaj
New Existence and Uniqueness Results for Fractional Differential Equations
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2013 In this paper, we study a class of boundary value problems of nonlinear fractional differential equations with integral boundary conditions. Some new existence and uniqueness results are obtained by using Banach fixed point theorem.
Anber Ahmed, Belarbi Soumia
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The number of equilibria of smooth infinite economies with separable utilities [PDF]
We construct an index theorem for smooth infinite economies with separable utilities that shows that generically the number of equilbria is odd. As a corollary, this gives a new proof of existence and gives conditions that guarantee global uniqueness of ...
Covarrubias, Enrique
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Flexible Memory: Progress, Challenges, and Opportunities
Advanced Intelligent Discovery, EarlyView.Flexible memory technology is crucial for flexible electronics integration. This review covers its historical evolution, evaluates rigid systems, proposes a flexible memory framework based on multiple mechanisms, stresses material design's role, presents a coupling model for performance optimization, and points out future directions.
Ruizhi Yuan +5 more
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Existence of Solutions and Algorithm for a System of Variational Inequalities
Fixed Point Theory and Applications, 2010 We obtain some existence results for a system of variational inequalities (for short, denoted by SVI) by Brouwer fixed point theorem. We also establish the existence and uniqueness theorem using the projection technique for the SVI and suggest an ...
Yali Zhao +3 more
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Advanced Intelligent Discovery, EarlyView.This study reveals that sampling strategy (i.e., sampling size and approach) is a foundational prerequisite for building accurate and generalizable AI models in peptide discovery. Reaching a threshold of 7.5% of the total tetrapeptide sequence space was essential to ensure reliable predictions.
Meiru Yan +3 more
wiley +1 more source
Miskolc Mathematical NotesIn this paper, we have shown that, by considering the Caputo fractional differential equation and Bielecki norm, the existence and uniqueness of solution for Cauchy problem is established using Banach fixed point theorem and further demonstrate the ...
Zhuohao Li, Kui Liu
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Existence and uniqueness theorems for nonlinear difference equations
Journal of Mathematical Analysis and Applications, 1987 The paper deals with existence and uniqueness theory associated with certain boundary value problems for the nth order nonlinear difference equation \(Py(t-k)=f(t,y(t))\) with \(Py(t-k)=\sum^{n}_{i=0}\alpha_ i(t)y(t-k+i)\) (1\(\leq k\leq n-1\); \(\alpha_ i(t)\) defined for integer values of t satisfying \(\alpha +k\leq t\leq b+k\) \((a0\), and f(t,y ...
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Advanced Intelligent Systems, Volume 7, Issue 3, March 2025.This review aims to provide a broad understanding for interdisciplinary researchers in engineering and clinical applications. It addresses the development and control of magnetic actuation systems (MASs) in clinical surgeries and their revolutionary effects in multiple clinical applications.
Yingxin Huo +3 more
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Predicting Performance of Hall Effect Ion Source Using Machine Learning
Advanced Intelligent Systems, Volume 7, Issue 3, March 2025.This study introduces HallNN, a machine learning tool for predicting Hall effect ion source performance using a neural network ensemble trained on data generated from numerical simulations. HallNN provides faster and more accurate predictions than numerical methods and traditional scaling laws, making it valuable for designing and optimizing Hall ...
Jaehong Park +8 more
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