Results 281 to 290 of about 528,042 (304)

General soliton solutions to a reverse‐time nonlocal nonlinear Schrödinger equation

Studies in applied mathematics (Cambridge), 2020
General soliton solutions to a reverse‐time nonlocal nonlinear Schrödinger (NLS) equation are discussed via a matrix version of binary Darboux transformation.
Rusuo Ye, Yi Zhang
semanticscholar   +1 more source

Nonlocal problems for some partial differential equations

Applicable Analysis, 1992
Abstract Nonlocal problems for polyharmonic functions and for a special third order system in a half plane are studied which have applications in elasticity. Some of them are solved explicitly on the basis of solutions to related classical problems, others are reduced to the RlEMANN problem for serveral holomorphic functions.
openaire   +2 more sources

Positive solutions for a nonlocal fractional differential equation

Nonlinear Analysis: Theory, Methods & Applications, 2011
Abstract In this paper, we study the following singular boundary value problem of a nonlocal fractional differential equation { D 0 + α u ( t ) + q ( t ) f ( t , u ( t ) ) = 0 , 0 t 1 , n − 1 α ≤ n , u ( 0 ) = u ′ ( 0 ) = ⋯ = u ( n − 2 ) (
Lishan Liu, Lishan Liu, Yongqing Wang, Yonghong Wu   +3 more
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Travelling Waves for a Nonlocal Delay Differential Equation

Bulletin of the Iranian Mathematical Society, 2018
A class of nonlocal delay differential equation with nonmonotone nonlinearity that arises from population dynamics is considered. The existence of travelling waves is established by constructing two auxiliary monotone dynamical systems combined with a global coupling condition.
Wenjie Hu, Wenjie Hu
openaire   +2 more sources

Determining of Coefficients and the Classical Solvability of a Nonlocal Boundary-Value Problem for the Benney–Luke Integro-Differential Equation with Degenerate Kernel

Journal of Mathematical Sciences, 2021
T. Yuldashev
semanticscholar   +1 more source

Solution of ordinary differential equations via nonlocal transformations

Journal of Physics A: Mathematical and General, 2001
Summary: The classical Lie analysis provides a useful technique for the solution of ordinary differential equations via point symmetries/transformations. Unfortunately, the requirement that an \(n\)th-order equation possesses at least an \(n\)-dimensional solvable Lie algebra of symmetries is only satisfied by a select number of equations.
R M Edelstein, Fazal M. Mahomed, Keshlan S. Govinder   +2 more
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Nonlocal differential equations with convex convolution coefficients

Journal of Fixed Point Theory and Applications, 2022
C. Goodrich
semanticscholar   +1 more source

Hidden and Nonlocal Symmetries of Nonlinear Differential Equations

1993
New results on hidden and nonlocal symmetries of nonlinear ordinary differential equations (NLODEs) are presented. Two types of hidden symmetries have been identified. A type I (II) hidden symmetry of an ODE occurs if a symmetry is lost (gained) when the order of the ODE is reduced.
A. Guo, B. Abraham-Shrauner
openaire   +2 more sources

Nonlinear elliptic differential equations with nonlocal boundary conditions

Acta Mathematica Hungarica, 1990
The author proves the existence of weak solutions to the class of boundary value problems of the form: \[ \sum_{|\alpha|\leq1}(- 1)^{|\alpha|}D^ \alpha f_ \alpha(x,u,Du)+g(x,u,Du)=F, \hbox { in } \Omega\subset\mathbb{R}^ n, \] \[ \sum_{|\alpha|=1}f_ \alpha(x,u,Du)v_ \alpha+h_ 1(x,u)+h^*_ 2(x,u(\Phi(x))) =0, \hbox { on } \partial \Omega, \] where ...
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On a First Order Partial Differential Equation with Nonlocal Nonlinearity

Mathematische Nachrichten, 1983
This paper discusses solvability and asymptotic time behavior of solutions of a nonlinear integro-differential equation, adopted as a model of a continuous stirred tank emulsion polymerization reactor. A monotonicity argument is used to establish the existence and uniqueness of the stationary solution.
openaire   +2 more sources