Results 61 to 70 of about 554 (129)
Existence and Properties of the State Operator in Dynamic User Equilibrium [PDF]
arXiv, 2012 In this paper, we establish and prove analytical properties of the state operator embedded in an optimal control problem, in the context of dynamic user equilibrium (DUE) models (Friesz et al. 1993).
arxiv
, 2018 In this paper, the authors prove an existence and approximation theorem for positive solutions to a nonlinear first order quadratic hybrid neutral functional differential equations with delay and maxima under mixed geometric, algebraic, and topological ...
B. Dhage, S. Dhage, J. Graef
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Orbits of geometric descent [PDF]
arXiv, 2013 We prove that quasiconvex functions always admit descent trajectories bypassing all non-minimizing critical points.
arxiv
, 2012 In this article, we discuss some generalized retarded nonlinear integral inequalities, which not only include nonlinear compound function of unknown function but also include retard items, and give upper bound estimation of the unknown function by ...
Wu-Sheng Wang
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Lagrangian Systems with non-smooth constraints [PDF]
arXiv, 2014 The Lagrange-d'Alembert equations with constraints belonging to $H^{1,\infty}$ have been considered. A concept of weak solutions to these equations has been built. Global existence theorem for Cauchy problem has been obtained.
arxiv
A nonlocal three-point inclusion problem of Langevin equation with two different fractional orders
, 2012 This article studies the existence of solutions for a three-point inclusion problem of Langevin equation with two fractional orders. Our main tools of study include a nonlinear alternative of Leray-Schauder type, selection theorem due to Bressan and ...
B. Ahmad, J. Nieto, A. Alsaedi
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Journal of King Saud University: Science, 2021 The current research aims to provide a viable numerical method for solving difficult engineering and science problems which are in the form of higher order ordinary differential equations.
Ahmad Fadly Nurullah Rasedee +6 more
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Pythagoras, Binomial, and de Moivre Revisited Through Differential Equations [PDF]
arXiv, 2018 The classical Pythagoras theorem, binomial theorem, de Moivre's formula, and numerous other deductions are made using the uniqueness theorem for the initial value problems in linear ordinary differential equations.
arxiv
On linear ODEs with a time singularity of the first kind and unsmooth inhomogeneity
, 2014 In this paper we investigate the analytical properties of systems of linear ordinary differential equations (ODEs) with unsmooth nonintegrable inhomogeneities and a time singularity of the first kind.
J. Burkotová +3 more
semanticscholar +1 more source
Journal of King Saud University: Science, 2022 The main focus of this manuscript is centered around Atangana-Baleanu semilinear neutral fractional integro-differential equations with finite delay. The main outcomes are demonstrated using the Mönch fixed point theorem along with its results when the ...
Yong-Ki Ma +4 more
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