Results 91 to 100 of about 2,566,738 (350)

Nonlinear hyperbolic initial value problem

Journal of Mathematical Analysis and Applications, 1986
The author treats a nonlinear hyperbolic equation as follows: \[ \partial^ 2 u/\partial x\partial y+g(x,y)f(u(x,y))=0\quad in\quad \{(x,y)\in {\mathbb{R}}^ 2;\quad x>0,\quad y>0\} \] with the boundary conditions \(u(x,0)=\phi (x)\) and \(u(0,y)=\psi (x)\). This problem is already solved by \textit{W. T. Hsiang} and \textit{M. K. Kwong} [J. Math.
openaire   +3 more sources

Positive Solutions of an Initial Value Problem for Nonlinear Fractional Differential Equations

, 2012
We investigate the existence and multiplicity of positive solutions for the nonlinear fractional differential equation initial value problem , where is the standard Riemann-Liouville differentiation and is continuous. By using some fixed-point results on
D. Baleanu, H. Mohammadi, S. Rezapour
semanticscholar   +1 more source

Knee crepitus and osteoarthritis features in young adults following traumatic knee injury

Arthritis Care &Research, Accepted Article.
Objective This study explored the association between knee crepitus and the presence, and worsening, of structural osteoarthritis features and self‐reported outcomes in young adults following traumatic knee injury. Methods One‐year following anterior cruciate ligament reconstruction (ACLR), 112 participants (41 female participants; median age 28 years)
Jamon L Couch, Brooke E Patterson, Kay M Crossley, Ali Guermazi, Matthew G King, Danilo De Oliveira Silva, Jackie L Whittaker, Michael A Girdwood, Adam G Culvenor   +8 more
wiley   +1 more source

Extremal Solutions for a Caputo-Type Fractional-Order Initial Value Problem

Fractal and Fractional
In this paper, we study the existence of extremal solutions for a Caputo-type fractional-order initial value problem. By using the monotone iteration technique and the upper–lower solution method, we obtain our existence theorem when the nonlinearity ...
Keyu Zhang, Tian Wang, Donal O’Regan, Jiafa Xu   +3 more
doaj   +1 more source

Multinomial Representation of Solutions of a Class of Singular Initial Value Problems [PDF]

, 1969
L. R. Bragg, J. W. Dettman
openalex   +2 more sources

Preferences for post‐traumatic osteoarthritis prevention strategies in individuals with anterior cruciate ligament injury

Arthritis Care &Research, Accepted Article.
Objectives There is growing interest in evaluating new strategies to delay or prevent post‐traumatic osteoarthritis (PTOA) in individuals who have sustained anterior cruciate ligament (ACL) injury. This study sought to determine characteristics of potential treatments that are acceptable to patients with ACL injury.
Kevin Kennedy, Lily Waddell, Adam Easterbrook, Jeffrey N. Katz, Cale Jacobs, Morgan Jones, Faith Selzer, Elena Losina, Liana Fraenkel, Nick Bansback   +9 more
wiley   +1 more source

Hille–Yosida-Type Theorem for Fractional Differential Equations with Dzhrbashyan–Nersesyan Derivative

Fractal and Fractional
It is a well-known fact that the Dzhrbashyan–Nersesyan fractional derivative includes as particular cases the fractional derivatives of Riemann–Liouville, Gerasimov–Caputo, and Hilfer.
Vladimir E. Fedorov, Wei-Shih Du, Marko Kostić, Marina V. Plekhanova, Darya V. Melekhina   +4 more
doaj   +1 more source

The Initial Value Problem in Light of Ashtekar's Variables [PDF]

, 1956
Riccardo Capovilla, John Dell, Ted Jacobson   +2 more
openalex   +1 more source

INITIAL VALUE PROBLEM FOR FRACTIONAL ORDER EQUATION WITH CONSTANT COEFFICIENTS

Vestnik KRAUNC: Fiziko-Matematičeskie Nauki, 2016
In this paper we construct an explicit representation of the solution of the Cauchy problem for ordinary differential equation of fractional order with Dzhrbashyan-Nersesyan operators.
Bogatyreva F. T.
doaj   +1 more source

The initial value problem for linear partial differential equations with variable coefficients, I [PDF]

, 1957
Taira Shirota
openalex   +1 more source