Results 41 to 50 of about 12,307,675 (270)
Nonsymmetric solutions of a nonlinear boundary value problem [PDF]
Czechoslovak Mathematical Journal, 2014 The paper is concerned with nonlinear second-order ordinary differential equation subject to symmetric nonlinear boundary conditions \[ \begin{aligned} u''(x)&=a| u(x)| ^{p-1}u(x),\,\,\,x\in (-l,l),\\ u'(\pm l)&=\pm | u(\pm l)| ^{q-1}u(\pm l),\end{aligned} \leqno (1) \] where \(a,\,l>0\). Using the shooting method, the author investigates the existence
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dynoGP: Deep Gaussian Processes for Dynamic System Identification
International Journal of Adaptive Control and Signal Processing, EarlyView.This work introduces a novel class of deep models for system identification, dynamical deep Gaussian processes, which combine the strengths of data‐driven methods, such as those based on neural network architectures, with the ability to output a probability distribution for uncertainty representation.
Alessio Benavoli +3 more
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Boundary value problems for hypergenic function vectors
Journal of Inequalities and Applications, 2018 This article mainly studies the boundary value problems for hypergenic function vectors in Clifford analysis. Firstly, some properties of hypergenic quasi-Cauchy type integrals are discussed. Then, by the Schauder fixed point theorem the existence of the
Guiling Zhang, Chong Li, Yonghong Xie
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Nonlinear boundary value problems and operators TT∗
Journal of Differential Equations, 1978 AbstractWe consider nonlinear boundary value problems of the type Lƒ + Nƒ = 0 for the existence of solutions. It is assumed that L is a 2nth-order linear differential operator in the real Hilbert space S = L2[a, b] which admits a decomposition of the form L = TT∗ where T is an nth-order linear differential operator and N is a nonlinear operator defined
Kannan, R., Locker, John
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Advanced Engineering Materials, EarlyView.This article presents the design, modeling, and characterization of air‐pressure–actuated programmable vibroacoustic metamaterials (PVAMM). The study focuses on leveraging air pressure to dynamically tune resonance frequencies for effective noise attenuation.
William Kaal +2 more
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A boundary value problem for nonlinear differential equation with arbitrary functions
Қарағанды университетінің хабаршысы. Математика сериясы, 2017 This article describes a semi-batch nonlinear boundary value problem for differential equations with partial derivatives. The equations containing arbitrary parameters were considered in Whitham G.B.
N. T. Orumbayeva, G. Sabitbekova
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The Galerkin-Implicit Methods for Solving Nonlinear Hyperbolic Boundary Value Problem
Ibn Al-Haitham Journal for Pure and Applied Sciences, 2021 This paper is concerned with finding the approximation solution (APPS) of a certain type of nonlinear hyperbolic boundary value problem (NOLHYBVP). The given BVP is written in its discrete (DI) weak form (WEF), and is proved that it has a unique APPS,
Jamil A. Ali Al-Hawasy +1 more
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Advanced Engineering Materials, EarlyView.A simplified thermoplastic pultrusion model is developed to predict thermal fields in glass fiber/polyethylene terephthalate (GF/PET) composites with reduced computational cost. By combining effective material homogenization, validation against literature data, and Gaussian‐process‐based optimization, the study reveals how heating limits, pulling speed,
Elder Soares +3 more
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On a boundary value problem for nonlinear functional differential equations
Boundary Value Problems, 2005 We consider the problem u′(t)=H(u)(t)+Q(u)(t), u(a)=h(u), where H,Q:C([a,b];R)→L([a,b];R) are, in general, nonlinear continuous operators, H∈ℋabαβ(g0,g1,p0,p1), and h:C([a,b];R)→R is a continuous functional.
Robert Hakl
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A singular nonlinear boundary-value problem
Electronic Journal of Differential Equations, 2000 In this paper we prove an existence and uniqueness theorem for the singular nonlinear boundary-value problem $$displaylines{ (|y'(t)|^py'(t))'+frac{phi}{y^{lambda}(t)}=0 hbox{ in } (0,1),cr y(0)=0=y(1), }$$ where $pgeq 0$, $lambda$ is a positive constant,
Robert M. Houck, Stephen B. Robinson
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