Results 31 to 40 of about 11,370,086 (322)

Branching Solutions of the Cauchy Problem for Nonlinear Loaded Differential Equations with Bifurcation Parameters

Mathematics, 2022
The Cauchy problem for a nonlinear system of differential equations with a Stieltjes integral (loads) of the desired solution is considered. The equation contains bifurcation parameters where the system has a trivial solution for any values.
Nikolai Sidorov, Denis Sidorov
doaj   +1 more source

On the geometry of the domain of the solution of nonlinear Cauchy problem

, 2016
We consider the Cauchy problem for a second order quasi-linear partial differential equation with an admissible parabolic degeneration such that the given functions described the initial conditions are defined on a closed interval.
A.V. Bitsadze, A.V. Bitsadze, F. Tricomi, F. Tricomi, G. Baghaturia, I. Yu. Popov, J. Gvazava, J. Hadamard, J.K. Gvazava, J.K. Gvazava, J.K. Gvazava, L. Wolfersdorf, L.I. Sedov, R. Bitsadze, R.G. Bitsadze   +14 more
core   +1 more source

A second-order impulsive Cauchy problem

International Journal of Mathematics and Mathematical Sciences, 2002
We study the existence of mild and classical solutions for an abstract second-order impulsive Cauchy problem modeled in the form u¨(t)=A u(t)+f(t,u(t),u˙(t)),t∈(−T0,T1),t≠ti;u(0)=x0,u˙(0)=y0; △u(ti)=Ii1 (u (ti)).
Eduardo Hernández Morales
doaj   +1 more source

The Cauchy problem of f(R) gravity

, 2007
The initial value problem of metric and Palatini f(R)gravity is studied by using the dynamical equivalence between these theories and Brans-Dicke gravity.
Allemandi G Ruggiero M L, Allemandi G Ruggiero M L, Amendola L Polarski D Tsujikawa S, Barausse E Sotiriou T P Miller J C, Barber G A, Battaglia Mayer A, Buchbinder I L, Buchdhal H, Buchdhal H, Buchdhal H, Buchdhal H, Buchdhal H, Buchdhal H, Buchdhal H, Capozziello S Carloni S Troisi A, Capozziello S Stabile A Troisi A, Capozziello S Stabile A Troisi A, Chiba T, Chiba T, Clifton T, Cognola G, Cognola G, Cognola G Gastaldi M Zerbini S, Davidson A, De Felice A, Deser S, Eddington A, Faraoni V, Ferraris M, Ferraris M Francaviglia M Volovich I, Higgs P W, Iglesias A Kaloper N Padilla A Park M, Jin X-H Liu D-J Li X-Z, Müller V, Navarro I, Navarro I, Nicolas Lanahan-Tremblay, Nojiri S, Nojiri S, Nojiri S, Núnez A Solganik S, O'Hanlon J, O'Hanlon J, Olmo G J, Poplawski N J, Poplawski N J, Reula O A, Riess A G, Salgado M, Schmidt H-J, Schrödinger E, Solín P, Sotiriou T P Faraoni V Liberati S, Synge J L, Valerio Faraoni, Vilkovisky G, Wald R M, Wands D, Weyl H, Weyl H   +59 more
core   +1 more source

On Cauchy problem for Euler–Poisson–Darboux system with nilpotent matrix coefficient

Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2012
The solution of Cauchy problem for the system of Euler–Poisson–Darboux equations with nilpotent matrix coefficient of power m is obtained by the Riemann method. The Hadamard well-posedness theorem for the Cauchy problem solution is formulated.
E. A. Maksimova
doaj   +3 more sources

Some remarks on the continuity equation [PDF]

, 2012
We describe some relations between the properties of the Cauchy problem for an ODE and the properties of the Cauchy problem for the associated continuity equation in the class of ...
Patrick Bernard, Patrick Bernard, Universite ́ Paris-dauphine   +2 more
core  

A degenerate parabolic–hyperbolic Cauchy problem with a stochastic force

, 2015
In this paper we are interested in the Cauchy problem for a nonlinear degenerate parabolic-hyperbolic problem with multiplicative stochastic forcing. Using an adapted entropy formulation a result of existence and uniqueness of a solution is proved.
C. Bauzet, G. Vallet, P. Wittbold
semanticscholar   +1 more source

Hydrogel‐Based Capacitive Sensor Model for Ammonium Monitoring in Aquaculture

Advanced Engineering Materials, EarlyView.
Traditional techniques for monitoring aquaculture water quality, particularly ammonium levels, harm fish. This work presents a novel capacitive sensor with an ionic hydrogel transducer to monitor ammonium concentration in real time based on the ammonium‐induced hydrogel dissociation and osmotic pressure. Monitoring aquaculture water quality, especially
Mohammad Mirzaee, Mahdi Askari‐sedeh, Ali Zolfagharian, Mostafa Baghani   +3 more
wiley   +1 more source

Nonlocal Conduction in a Metawire

Advanced Materials, Volume 37, Issue 13, April 2, 2025.
A 1D metawire composed of twisted copper wires is designed and realized. This metamaterial exhibits pronounced effects of nonlocal electric conduction according to Ohm's law. The current at one location not only depends on the electric field at that location but also on other locations.
Julio Andrés Iglesias Martínez, Yi Chen, Ke Wang, Martin Wegener   +3 more
wiley   +1 more source

On the Cauchy problem for the Schrödinger-Hartree equation

, 2015
In this paper, we undertake a comprehensive study for the Schrodinger-Hartree equation \begin{equation*} iu_t +\Delta u+ \lambda (I_\alpha \ast |u|^{p})|u|^{p-2}u=0, \end{equation*} where $I_\alpha$ is the Riesz potential.
Binhua Feng, Xian-Zhi Yuan
semanticscholar   +1 more source