Results 41 to 50 of about 274,936 (300)

The existence of solutions for nonlinear fractional boundary value problem and its Lyapunov-type inequality involving conformable variable-order derivative

Journal of Inequalities and Applications, 2020
We consider a nonlinear fractional boundary value problem involving conformable variable-order derivative with Dirichlet conditions. We prove the existence of solutions to the considered problem by using the upper and lower solutions’ method with ...
Jie Wang, Shuqin Zhang
doaj   +1 more source

Solvability of a three-point nonlinear boundary value problem for a second order ordinary differential equation

, 1992
In case f(x, U, u’) =ps(x) +p,(x) u +pJx) U’ with pk : [0, l] 4 R locally integrable, the boundary value problem (l.lt( 1.2) was studied by Kiguradze and Lomtatidze [I].
C. Gupta
semanticscholar   +1 more source

Nonlocal Boundary Value Problem for Nonlinear Impulsive qk-Integrodifference Equation

Abstract and Applied Analysis, 2014
A nonlinear impulsive integrodifference equation within the frame of qk-quantum calculus is investigated by applying using fixed point theorems. The conditions for existence and uniqueness of solutions are obtained.
Lihong Zhang, Dumitru Baleanu, Guotao Wang   +2 more
doaj   +1 more source

Nonlinear boundary value problem for nonlinear second order differential equations with impulses

Electronic Journal of Qualitative Theory of Differential Equations, 2005
The paper deals with the impulsive nonlinear boundary value problem \[ u''(t) = f(t,u(t),u'(t)) \quad\mbox{for a.e.}\ t \in [0,T], \] \[ u(t_j+) = J_j(u(t_j)),\quad u'(t_j+) = M_j(u'(t_j)),\quad j = 1,\ldots,m, \] \[ g_1(u(0),u(T)) = 0, \quad g_2(u'(0),u'
Jan Tomeček
doaj   +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, Anthony Siming Chen, Guido Herrmann   +2 more
wiley   +1 more source

The Yamabe Problem and Nonlinear Boundary Value Problems

Journal of Differential Equations, 1995
The paper is concerned with the scalar curvature equation with prescribed mean curvature on the boundary of a given Riemannian manifold. Just as in \textit{T. Ouyang} [Trans. Am. Math. Soc. 331, No. 2, 503-527 (1992; Zbl 0759.35021)], this Riemannian manifold is assumed to have negative constant scalar curvature in the interior and zero mean curvature ...
openaire   +1 more source

Adaptive Observer for Coupled Wave PDE and Infinite ODE With Sampled Data and Unknown Input: Application to Brain Hemodynamics Estimation

International Journal of Adaptive Control and Signal Processing, EarlyView.
This article proposes a convergent adaptive observer for a damped wave PDE and an infinite‐dimensional ODE coupled in cascade using sampled‐in‐space ODE state measurements. The proposed observer estimates the distributed states of the PDE and ODE along with unknown PDE parameters and spatial input.
Zehor Belkhatir, Sarah Mechhoud, Taous‐Meriem Laleg‐Kirati   +2 more
wiley   +1 more source

A singular nonlinear boundary value problem with Neumann conditions [PDF]

Opuscula Mathematica, 2005
We study the existence of solutions for the equations \(x^{\prime\prime}\pm g(t,x)=h(t)\), \(t\in (0,1)\) with Neumann boundary conditions, where \(g:[0,1] \times (0,+\infty) \to [0,+\infty)\) and \(h:[0,1] \to \mathbb{R}\) are continuous and \(g(t,\cdot)
Julian Janus
doaj  

On solvability of nonlinear boundary value problems with integral condition for the system of hyperbolic equations

Electronic Journal of Qualitative Theory of Differential Equations, 2015
For system of hyperbolic equations of second order a nonlinear boundary value problem with integral condition is considered. By introducing new unknown functions the investigated problem is reduced to an equivalent problem involving one-parametered ...
Anar Assanova
doaj   +1 more source

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
openaire   +2 more sources