Results 41 to 50 of about 6,108,581 (281)

Exponential Polynomials and Nonlinear Differential-Difference Equations [PDF]

Journal of Function Spaces, 2020
In this paper, we study finite-order entire solutions of nonlinear differential-difference equations and solve a conjecture proposed by Chen, Gao, and Zhang when the solution is an exponential polynomial. We also find that any exponential polynomial solution of a nonlinear difference equation should have special forms.
Junfeng Xu, Jianxun Rong
openaire   +2 more sources

On the discrete and continuous Miura chain associated with the sixth Painlev equation [PDF]

, 2000
A Miura chain is a (closed) sequence of differential (or difference) equations that are related by Miura or B\"acklund transformations. We describe such a chain for the sixth Painlev\'e equation (\pvi), containing, apart from \pvi itself, a Schwarzian ...
Hone, A. N. W., Nijhoff, F., Nijhoff, Frank W., Joshi, Nalini, Frank Nijhoff, Joshi, N., Nalini Joshi, Andrew Hone, Hone, Andrew N.W.   +8 more
core   +1 more source

Besse relaxation difference scheme for a nonlinear integro-differential equation

PLoS ONE
In this paper, Besse relaxation difference and compact difference scheme for a nonlinear integro-differential equation, which is crucial in modeling complex systems with memory and nonlocal effects, are proposed.
Xinya Peng, Leiwei Li, Jia Zhang
doaj   +2 more sources

Entire Solutions of Painlevé V-Type Differential- Difference Equation

Axioms
This research focuses on the following equation: (g¯g−1)(gg̲−1)+B(z)g′(z)g(z)=R(z,g)=P(z,g)Q(z,g), where P(z,g) and Q(z,g) represent polynomials in g, possessing rational coefficients in z and lacking shared roots, B(z) is rational, and g¯≡g(z+1),g̲≡g(z ...
Changwen Peng, Zhijin Zhou, Huawei Huang
doaj   +1 more source

Periodic Differential Difference Equations

Journal of Mathematical Analysis and Applications, 1966
This chapter presents the periodic differential difference equations. It presents a scalar equation x ( t ) = ( t ) x ( t – Δ j ), where the p j are continuous real-valued periodic functions of period w and 0 = Δ 0 1 n . In the usual way, x t = x ( t, θ, ζ, τ ) for θ ∈ [ , 0] and t ≥ τ denotes an element of C [− Δ n , 0], and ...
openaire   +2 more sources

Fractional Differential Equations in Terms of Comparison Results and Lyapunov Stability with Initial Time Difference

Abstract and Applied Analysis, 2010
The qualitative behavior of a perturbed fractional-order differential equation with Caputo's derivative that differs in initial position and initial time with respect to the unperturbed fractional-order differential equation with Caputo's derivative has ...
Coşkun Yakar
doaj   +1 more source

On the differential and difference equation with a power delayed argument

Electronic Journal of Qualitative Theory of Differential Equations, 2008
We study the qualitative behaviour of solutions of the differential equation $$ \dot{y}(t)=a\,y(t^{\alpha})+b\,y(t),\qquad t\in [1,\infty ), $$ where ...
Jan Čermák
doaj   +1 more source

Central Nervous System Tumors Among Infants in Canada: A Report From CYP‐C

Pediatric Blood &Cancer, EarlyView.
ABSTRACT Background Central nervous system (CNS) tumors in infants are rare, pose unique clinical challenges, and lack large‐scale evidence‐based data to guide management. This study seeks to describe CNS tumors in Canadian infants and to compare their outcomes with those of older children.
Samuel Sassine, Hallie Coltin, Sylvia Cheng, Lucie Lafay‐Cousin, Vanan Issai Magimairajan, Craig Erker, Stéphanie Vairy, Lynette Bowes, Adam Fleming, Donna Johnston, Sarah McKillop, Roona Sinha, Julie Bennett, Christina Coleman, Laura Wheaton, Shayna Zelcer, Samuele Renzi, Thai Hoa Tran   +17 more
wiley   +1 more source

A Stable Difference Scheme for a Third-Order Partial Differential Equation

Современная математика: Фундаментальные направления, 2018
The nonlocal boundary-value problem for a third order partial differential equation in a Hilbert space H with a self-adjoint positive definite operator A is considered.
A Ashyralyev, Kh Belakroum
doaj   +1 more source

Impact of Radiation Therapy on Physical and Psychosocial Health of Adolescents and Young Adults: A Joint Report From the Children's Oncology Group AYA and Radiation Oncology Committees

Pediatric Blood &Cancer, EarlyView.
ABSTRACT Rates of cancer among adolescents and young adults (AYA), age 15–39 years, are increasing. Consequently, radiation oncologists are treating more AYAs who have diagnoses spanning both pediatric and adult practices. Compared to pediatric and older adult patients, AYAs face a unique set of challenges.
Hesham Elhalawani, Rachel K. Peterson, Avani D. Rao, Laurie J. McKenzie, Ahmed Magdy Elmotayam, Leslie Chang, Michael Roth, Susan L. McGovern   +7 more
wiley   +1 more source