Results 91 to 100 of about 717,503 (209)

Singular Cauchy Problem for a Nonlinear Fractional Differential Equation

Mathematics
The paper studies a nonlinear equation including both fractional and ordinary derivatives. The singular Cauchy problem is considered. The theorem of the existence of uniqueness of a solution in the neighborhood of a fixed singular point of algebraic type
Victor Orlov
doaj   +1 more source

Holder continuity of bounded weak solutions to generalized parabolic p-Laplacian equations I: degenerate case

Electronic Journal of Differential Equations, 2015
Here we generalize quasilinear parabolic p-Laplacian type equations to obtain the prototype equation $$ u_t - \hbox{div} \Big(\frac{g(|Du|)}{|Du|} Du\Big) = 0, $$ where g is a nonnegative, increasing, and continuous function trapped in between two
Sukjung Hwang, Gary M. Lieberman
doaj  

On Wave Equations Without Global a Priori Estimates

Boletim da Sociedade Paranaense de Matemática, 2011
Summary: We investigate the existence and uniqueness of weak solution for a mixed problem for wave operator of the type: \[ L(u) =\frac{\partial^2u}{\partial t^2}-\Delta u + |u|^{\rho}-f,\quad \rho>1. \] The operator is defined for real functions \(u = u(x, t)\) and \(f = f (x, t)\) where \((x, t) \in Q\) a bounded cylinder of \(\mathbb R^{n+1}\).
Luis Adauto Medeiros, Juan Limaco, Cícero Lopes Frota   +2 more
openaire   +4 more sources

olution to a semilinear pseudoparabolic problem with integral conditions

Electronic Journal of Differential Equations, 2006
In this article, we use the Rothe time-discretization method to prove the well-posedness of a mixed problem with integral conditions for a third order semilinear pseudoparabolic equation.
Abdelfatah Bouziani, Nabil Merazga
doaj  

Preliminary Orbit Determination System (PODS) for Tracking and Data Relay Satellite System (TDRSS)-tracked target Spacecraft using the homotopy continuation method [PDF]

The Preliminary Orbit Determination System (PODS) provides early orbit determination capability in the Trajectory Computation and Orbital Products System (TCOPS) for a Tracking and Data Relay Satellite System (TDRSS)-tracked spacecraft.
Broaddus, S. R., Doll, C. E., Kirschner, S. M., Samii, M. V.   +3 more
core   +1 more source

On the solvability of nonlocal pluriparabolic problems

Electronic Journal of Differential Equations, 2001
The aim of this paper is to prove existence, uniqueness, and continuous dependence upon the data of solutions to mixed problems for pluriparabolic equations with nonlocal boundary conditions.
Abdelfatah Bouziani
doaj  

A degenerate migration-consumption model in domains of arbitrary dimension

Advanced Nonlinear Studies
In a smoothly bounded convex domain Ω⊂Rn ${\Omega}\subset {\mathbb{R}}^{n}$ with n ≥ 1, a no-flux initial-boundary value problem forut=Δuϕ(v),vt=Δv−uv, $$\begin{cases}_{t}={\Delta}\left(u\phi \left(v\right)\right),\quad \hfill \\ {v}_{t}={\Delta}v-uv ...
Winkler Michael
doaj   +1 more source

A C⁰ Nonconforming Virtual Element Method for the Kirchhoff Plate Obstacle Problem

Axioms
This paper investigates a novel C0 nonconforming virtual element method (VEM) for solving the Kirchhoff plate obstacle problem, which is described by a fourth-order variational inequality (VI) of the first kind.
Bangmin Wu, Jiali Qiu
doaj   +1 more source

Some a priori estimates for a critical Schrodinger-Newton equation

Electronic Journal of Differential Equations, 2012
Under natural energy and decay assumptions, we derive a priori estimates for solutions of a Schrodinger-Newton type of equation with critical exponent. On one hand, such an equation generalizes the traditional Schrodinger-Newton and Choquard equations, while, on the other hand, it is naturally related to problems involving scalar curvature and ...
openaire   +4 more sources

Some estimates for elliptic systems generalizing the Bitsadze system of equations

Учёные записки Казанского университета: Серия Физико-математические науки
This article explores an elliptic system of n equations where the main part is the Bitsadze operator (the square of the Cauchy–Riemann operator) and the lower term is the product of a given matrix function by the conjugate of the desired vector function.
S. Baizaev, R. N. Barotov
doaj   +1 more source