Results 61 to 70 of about 8,072 (173)

Cauchy problem for derivors in finite dimension

Electronic Journal of Differential Equations, 2001
In this paper we study the uniqueness of solutions to ordinary differential equations which fail to satisfy both accretivity condition and the uniqueness condition of Nagumo, Osgood and Kamke.
Jean-Francois Couchouron, Claude Dellacherie, Michel Grandcolas   +2 more
doaj  

Heteroclinic Solutions for Classical and Singular ϕ-Laplacian Non-Autonomous Differential Equations

Axioms, 2019
In this paper, we consider the second order discontinuous differential equation in the real line, a t , u ϕ u ′ ′ = f t , u , u ′ , a . e . t ∈ R , u ( − ∞ ) = ν − , u ( + ∞ )
Feliz Minhós
doaj   +1 more source

Data‐Driven Distributed Safe Control Design for Multi‐Agent Systems

International Journal of Adaptive Control and Signal Processing, Volume 40, Issue 1, Page 137-150, January 2026.
This paper presents a data‐driven control barrier function (CBF) technique for ensuring safe control of multi‐agent systems (MASs) with uncertain linear dynamics. A data‐driven quadratic programming (QP) optimization is first developed for CBF‐based safe control of single‐agent systems using a nonlinear controller. This approach is then extended to the
Marjan Khaledi, Bahare Kiumarsi
wiley   +1 more source

Phase reduction and synchronization of a network of coupled dynamical elements exhibiting collective oscillations

, 2018
A general phase reduction method for a network of coupled dynamical elements exhibiting collective oscillations, which is applicable to arbitrary networks of heterogeneous dynamical elements, is developed.
Arai, Kensuke, Kawamura, Yoji, Nakao, Hiroya, Ota, Masashi, Yasui, Sho   +4 more
core   +1 more source

Outcomes and Management of Dermatologic Toxicity Following Enfortumab Vedotin Rechallenge in Patients With Metastatic Urothelial Carcinoma: A Retrospective Single‐Center Study

Cancer Reports, Volume 9, Issue 1, January 2026.
ABSTRACT Background Enfortumab vedotin (EV) has demonstrated clinical benefits as a third‐line monotherapy after chemotherapy and immune checkpoint inhibitors and is currently established, in combination with pembrolizumab, as a first‐line standard therapy for metastatic urothelial carcinoma (mUC). However, dermatologic adverse events (DAEs) are common
Takashi Kawahara, Yoshiyuki Nagumo, Akane Yamaguchi, Kazuki Hamada, Kozaburo Tanuma, Satoshi Nitta, Masanobu Shiga, Atsushi Ikeda, Shuya Kandori, Akio Hoshi, Hiroyuki Nishiyama   +10 more
wiley   +1 more source

Existence results for singular nonlinear BVPs in the critical regime

Electronic Journal of Qualitative Theory of Differential Equations
We study the existence of solutions for a class of boundary value problems on the half line, associated to a third order ordinary differential equation of the type $$\left(\Phi(k(t, u'(t))u''(t))\right)'(t)=f \left(t, u(t), u'(t), u''(t) \right), \quad ...
Francesca Anceschi, Giuseppina Autuori, Francesca Papalini   +2 more
doaj   +1 more source

The legacy of the Cartwright–Littlewood collaboration

Journal of the London Mathematical Society, Volume 113, Issue 1, January 2026.
Abstract Mary L. Cartwright and John E. Littlewood published a short “preliminary survey” in 1945 describing results of their investigation of the forced van der Pol equation ÿ−k(1−y2)ẏ+y=bλkcos(λt+a)$$\begin{equation*} \ddot{y}-k(1-y^2)\dot{y}+y = b \lambda k \cos (\lambda t+a) \end{equation*}$$in which b,λ,k,a$b,\lambda,k,a$ are parameters with k$k$
John Guckenheimer
wiley   +1 more source

Numerical and Analytical Solutions for a Nonlinear System

International Journal of Differential Equations, Volume 2026, Issue 1, 2026.
This paper investigates two nonlinear reaction–diffusion systems: (i) a spatially extended competitive species model and (ii) the FitzHugh–Nagumo system, which serves as a canonical model of excitable media. For the first system, we derive exact closed‐form solutions using the exponential function method; these solutions exhibit spatially periodic ...
Badran Jasim Salim, Dalya Mahmood Merie, Deepali   +2 more
wiley   +1 more source

Sufficient conditions for nonexistence of gradient blow-up for nonlinear parabolic equations

Electronic Journal of Differential Equations, 2007
In this paper we study the initial-boundary value problems for nonlinear parabolic equations without Bernstein-Nagumo condition. Sufficient conditions guaranteeing the nonexistence of gradient blow-up are formulated.
Aris S. Tersenov
doaj  

Accuracy Estimation of the Numerical Solutions for Chaotic Regime of the Pendulum With External and Parametric Excitation

Journal of Applied Mathematics, Volume 2026, Issue 1, 2026.
This study involves the development of a framework for checking the accuracy of built‐in algorithms from Mathcad software. The built‐in algorithms used inside Mathcad software include Runge–Kutta method of the fourth order (RK4), Adams method, backward differential formula, AdamsBDF, Radau, Bulstoer, Stiffr, and Stiffb methods.
M. C. Kekana, M. Y. Shatalov, S. E. Fadugba, N. Jeeva, T. O. Tong, Theodore Simos   +5 more
wiley   +1 more source