Results 101 to 110 of about 2,566,738 (350)
An initial value problem for a functional equation
Aequationes Mathematicae, 1979 We consider the functional equationf(A(x,y))=B(f(x),f(y)), whereA andB are averages. It is known that such a functional equation has exactly one continuous solution satisfying a given two-point condition. By analogy with the theory of differential equations, we may regard the functional equation, together with a two-point condition, as a boundary value
openaire +3 more sources
International Journal of Adaptive Control and Signal Processing, EarlyView.Summary Data‐driven forecasting of ship motions in waves is investigated through feedforward and recurrent neural networks as well as dynamic mode decomposition. The goal is to predict future ship motion variables based on past data collected on the field, using equation‐free approaches.
Matteo Diez +2 more
wiley +1 more source
The initial-value problem for a Gardner-type equation
Advanced Nonlinear StudiesDiscussed here is a regularized version(0.1)ut+ux+uux+Au2ux−uxxt=0, $${u}_{t}+{u}_{x}+u{u}_{x}+A{u}^{2}{u}_{x}-{u}_{\mathit{xxt}}=0,$$ of the classical Gardner equationut+ux+uux+Au2ux+uxxx=0, $${u}_{t}+{u}_{x}+u{u}_{x}+A{u}^{2}{u}_{x}+{u}_{\mathit{xxx ...
Bona Jerry +4 more
doaj +1 more source
Remarks on the initial value problem of the general partial differential equation of the first order [PDF]
, 1937 H. R. Cooley
openalex +1 more source
A Q‐Learning Algorithm to Solve the Two‐Player Zero‐Sum Game Problem for Nonlinear Systems
International Journal of Adaptive Control and Signal Processing, Volume 39, Issue 3, Page 566-581, March 2025.A Q‐learning algorithm to solve the two‐player zero‐sum game problem for nonlinear systems. ABSTRACT This paper deals with the two‐player zero‐sum game problem, which is a bounded L2$$ {L}_2 $$‐gain robust control problem. Finding an analytical solution to the complex Hamilton‐Jacobi‐Issacs (HJI) equation is a challenging task.
Afreen Islam +2 more
wiley +1 more source
The initial value problem for nonlinear wave equations in Hilbert space [PDF]
, 1969 Luiz Adauto Medeiros
openalex +1 more source
Neural Network Adaptive Control With Long Short‐Term Memory
International Journal of Adaptive Control and Signal Processing, EarlyView.ABSTRACT In this study, we propose a novel adaptive control architecture that provides dramatically better transient response performance compared to conventional adaptive control methods. This is accomplished by the synergistic employment of a traditional adaptive neural network (ANN) controller and a long short‐term memory (LSTM) network.
Emirhan Inanc +4 more
wiley +1 more source
A hyperbolic problem with nonlinear second-order boundary damping
Electronic Journal of Differential Equations, 1998 The initial boundary value problem for the wave equation with nonlinear second-order dissipative boundary conditions is considered. Existence and uniqueness of global generalized solutions are proved.
G. G. Doronin, N. A. Larkin, A. J. Souza
doaj
Mixed Initial-Boundary Value Problem for the Capillary Wave Equation
Advances in Mathematical Physics, 2016 We study the mixed initial-boundary value problem for the capillary wave equation: iut+u2u=∂x3/2u, t>0, x>0; u(x,0)=u0(x), x>0; u(0,t)+βux(0,t)=h(t), t>0, where ∂x3/2u=(1/2π)∫0∞signx-y/x-yuyy(y) dy.
B. Juarez Campos +2 more
doaj +1 more source
Symmetry analysis of initial-value problems
Journal of Mathematical Analysis and Applications, 2005 Generally speaking, the imposition of the full statement of a differential equation diminishes the number of Lie symmetries it possesses. Oftentimes this is to the extent of removing all Lie point symmetries and so the possibility of finding a route to the solution of differential equation using point symmetries.
openaire +3 more sources