The Nehari manifold for a boundary value problem involving Riemann–Liouville fractional derivative
Advances in Difference Equations, 2018 We aim to investigate the following nonlinear boundary value problems of fractional differential equations: (Pλ){−tD1α(|0Dtα(u(t))|p−20Dtαu(t))=f(t,u(t))+λg(t)|u(t)|q−2u(t)(t∈(0,1)),u(0)=u(1)=0, $$\begin{aligned} (\mathrm{P}_{\lambda}) \left ...
Kamel Saoudi +4 more
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Nonlinear equations in non-reflexive Banach spaces and strongly nonlinear differential equations [PDF]
, 1998 In this paper, we study strongly nonlinear degenerate elliptic and parabolic equations of the form F(x,u,Du,...,D(2m-1)u,Lu) = 0 and ut = F(x,t,u,Du,...,D(2m-1)u,Lu), respectively, where L is a linear operator of the derivatives of highest (i.e., of 2m ...
Soltanov, Kamal N. +2 more
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Current Status and Challenges in Data Collection for Aerospace Coatings Deposited by Plasma Spraying
Advanced Engineering Materials, EarlyView.An innovative approach has been integrated into the GRENAT project to optimize plasma spraying and coating performance. Raw materials are accelerated and melted in the plasma generated by torches, creating coatings. Monitoring sensors collect process data which are combined with ex situ characterization data.
Lila Randriamananjara +8 more
wiley +1 more source
The Well-Posedness of Solutions for a Generalized Shallow Water Wave Equation
Abstract and Applied Analysis, 2012 A nonlinear partial differential equation containing the famous Camassa-Holm and Degasperis-Procesi equations as special cases is investigated. The Kato theorem for abstract differential equations is applied to establish the local well-posedness of ...
Shaoyong Lai, Aiyin Wang
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The D1-triangulation in simplicial variable dimension algorithms for computing solutions of nonlinear equations [PDF]
Nonlinear ...
Dang, C., Talman, A.J.J.
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Optimization of the Production of Rubber Compounds Using Mathematical Models
Advanced Engineering Materials, EarlyView.Rubber compounds were mixed in a batch internal mixer, and symbolic regression was used to derive mathematical models linking recipe and process parameters to ram path, torque, and mixing quality (incorporation, dispersion, distribution). Subsequent optimization with evolutionary algorithms identified operating conditions that reduce specific energy ...
Anke Bardehle +7 more
wiley +1 more source
Advanced Engineering Materials, EarlyView.A novel workflow for investigating hydride vapor phase epitaxy for GaN bulk crystal growth is proposed. It combines Design of experiments (DoE) with physical simulations of mass transport and crystal growth kinetics, serving as an intermediate step between DoE and experiments.
J. Tomkovič +7 more
wiley +1 more source
Existence of positive solutions to nonlinear elliptic problem in the half space
Electronic Journal of Differential Equations, 2005 This paper concerns nonlinear elliptic equations in the half space $mathbb{R}_{+}^{n}:={ x=(x',x_{n})in mathbb{R}^{n}:x_{n}$ greater than 0 $}$, $ngeq 2$, with a nonlinear term satisfying some conditions related to a certain Kato class of functions.
Malek Zribi, Imed Bachar, Habib Maagli
doaj
Oscillation for Second-Order Nonlinear Delay Dynamic Equations on Time Scales
Advances in Difference Equations, 2009 By means of Riccati transformation technique, we establish some new oscillation criteria for the second-order nonlinear delay dynamic equations (r(t)(xΔ(t))γ)Δ+p(t)f(x(τ(t)))=0 on a time scale 𝕋; here γ>0
Zhenlai Han +3 more
doaj +1 more source
Estimating the Dynamics of R&D-based Growth Models [PDF]
Several R&D-based models of endogenous economic growth are investigated under the Solow-like assumption of fixed allocation of resources across activities.
Yuri, YATSENKO +2 more
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