Results 51 to 60 of about 1,986,683 (337)

Monotone iterative technique for finite systems of nonlinear Riemann-Liouville fractional differential equations [PDF]

Opuscula Mathematica, 2011
Comparison results of the nonlinear scalar Riemann-Liouville fractional differential equation of order \(q\), \(0 \lt q \leq 1\), are presented without requiring Hölder continuity assumption.
Z. Denton, A. S. Vatsala
doaj   +1 more source

Existence of a Monotone Solution of a Nonlinear Differential Equation

Journal of Mathematical Analysis and Applications, 1995
If \(n\) is even (odd), \(f(t,w_1, w_2, \ldots, w_n) \leq 0 (\geq 0)\) for \(t \in [0, \infty)\), \(0 \leq (-1)^{i - 1} w_i \leq 1\), \(i = 1,2, \ldots, n\), \(f(.,w)\) is not identically zero on any subinterval of \([0, \infty)\) for every fixed \(w \in R^n\) and \(\lim_{w_1 \to 0 +} {f(t, w_1, w_2, \ldots, w_n) \over w_1} = \vartheta\), where ...
openaire   +2 more sources

Monotonicity in Time of Large Solutions to a Nonlinear Heat Equation

Rocky Mountain Journal of Mathematics, 1998
The Cauchy problem for a two-dimensional semilinear heat equation with radial symmetry \[ u_t=u_{rr}+u_r/r+e^u\text{ in }\mathbb{R}^+ \times (0,T), \quad (r=\sqrt {x^2+y^2},x,y \in\mathbb{R}) \] with smooth, bounded initial data \(u_0(r)\) is considered.
Galaktionov, V.A., Lacey, A.A.
openaire   +3 more sources

A note on strong solutions of stochastic differential equations with a discontinuous drift coefficient [PDF]

, 2006
The existence of a mean-square continuous strong solution is established for vector-valued Itö stochastic differential equations with a discontinuous drift coefficient, which is an increasing function, and with a Lipschitz continuous diffusion ...
Nikolaos Halidias, Kloeden, Peter E., P. E. Kloeden, Halidias, Nikolaos   +3 more
core   +1 more source

A Practical Noise2Noise Denoising Pipeline for High‐Throughput Raman Spectroscopy

Advanced Engineering Materials, EarlyView.
A lightweight and reproducible denoising pipeline for high‐throughput Raman spectroscopy is introduced, based on a 1D convolutional autoencoder trained with a Noise2Noise strategy. Using only repeated short‐exposure acquisitions, the method suppresses stochastic noise without reference spectra, enabling reliable spectral reconstruction while preserving
David Martin‐Calle, Cesar Alvarez‐Llamas, Vincent Motto‐Ros, Christophe Dujardin, Jérémie Margueritat, David Rodney   +5 more
wiley   +1 more source

An extended method of quasilinearization for nonlinear impulsive differential equations with a nonlinear three-point boundary condition

Electronic Journal of Qualitative Theory of Differential Equations, 2007
In this paper, we discuss an extended form of generalized quasilinearization technique for first order nonlinear impulsive differential equations with a nonlinear three-point boundary condition.
Bashir Ahmad, Ahmed Alsaedi
doaj   +1 more source

Optimal solution of nonlinear equations [PDF]

, 1985
journal articleWe survey recent worst case complexity results for the solution of nonlinear equations. Notes on worst and average case analysis of iterative algorithms and a bibliography of the subject are also ...
Optimal solution; Nonlinear equations, Sikorski, Kris   +1 more
core  

On Critical Behaviour in Systems of Hamiltonian Partial Differential Equations [PDF]

, 2015
We study the critical behaviour of solutions to weakly dispersive Hamiltonian systems considered as perturbations of elliptic and hyperbolic systems of hydrodynamic type with two components.
Klein, Christian, Moro, A., Antonio Moro, Klein, C, Moro, Anotnio, Grava, T., Dubrovin, Boris, Boris Dubrovin, Dubrovin, B., Moro, Antonio, Tamara Grava, Klein, C., Grava, Tamara, Christian Klein   +13 more
core   +1 more source

New AI‐Assisted Approach for Expanding the Solution Space: Application to Lattice Structure Design

Advanced Engineering Materials, EarlyView.
This work introduces an innovative framework for designing structured materials by ex panding the design space through reparameterization of qualitative variables into continuous structural descriptors. Combined with machine‐learning‐based prediction and multi‐objective optimization, the approach enables the discovery of novel lattice architectures ...
G. H. Gahimbare, Y. Beideler, D. Chune, R. De Guio, T. Roland, H. Chibane   +5 more
wiley   +1 more source

Structure and dimension of global branches of solutions to multiparameter nonlinear equations [PDF]

, 1985
A general study of the dimension and connectivity properties of branches of solutions of equations depending on n-parameters are studied using the homotopy properties of 0-epi ...
Pejsachowicz, Jacobo, Ize, J., Massabò, I., Ize J., Vignoli, A., Vignoli A., Massabò I.   +6 more
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