Results 51 to 60 of about 53,002 (179)
Nontrivial solutions of boundary value problems for second order functional differential equations [PDF]
, 2015 In this paper we present a theory for the existence of multiple nontrivial solutions for a class of perturbed Hammerstein integral equations. Our methodology, rather than to work directly in cones, is to utilize the theory of fixed point index on affine ...
Calamai, Alessandro, Infante, Gennaro
core +1 more source
, 2016 The integrable nonlocal nonlinear Schrodinger (NNLS) equation with the self-induced parity-time-symmetric potential [Phys. Rev. Lett. 110 (2013) 064105] is investigated, which is an integrable extension of the standard NLS equation.
Wen, Xiao-Yong +2 more
core +1 more source
Exact Solutions of Nonlocal BVPs for the Multidimensional Heat Equations [PDF]
, 2012 MSC 2010: 44A35, 44A45, 44A40, 35K20, 35K05In this paper a method for obtaining exact solutions of the multidimensional heat equations with nonlocal boundary value conditions in a finite space domain with time-nonlocal initial condition is developed. One
Dimovski, Ivan, Tsankov, Yulian
core
, 2011 Classical versions of the Big Bang cosmological models of the universe contain a singularity at the start of time, hence the time variable in the field equations should run over a half-line.
Aref'eva, I. Ya., Volovich, I. V.
core +1 more source
Journal of Function Spaces, 2020 This paper considers nonlinear fractional mixed Volterra-Fredholm integro-differential equation with a nonlocal initial condition. We propose a fixed-point approach to investigate the existence, uniqueness, and Hyers-Ulam-Rassias stability of solutions ...
Somia Khaldi +2 more
doaj +1 more source
Controllability of semilinear boundary problems with nonlocal initial conditions
Journal of Mathematical Analysis and Applications, 2006 The authors consider a semilinear nonautonomous boundary problem with nonlocal initial conditions. First, they prove the existence of a mild solution of the problem by constructing a contractive map; the solution is given by a variation of constants formula. Ideas of preceeding papers (in press and preprint) are used.
Boulite, S., Idrissi, A., Maniar, L.
openaire +2 more sources
Initial-boundary value problem with a nonlocal condition for a viscosity equation
International Journal of Mathematics and Mathematical Sciences, 2002 This paper deals with the proof of the existence, uniqueness, and continuous dependence of a strong solution upon the data, for an initial-boundary value problem which combine Neumann and integral conditions for a viscosity equation.
Abdelfatah Bouziani
doaj +1 more source
The minimizer for the second order differential problem with one nonlocal condition
Lietuvos Matematikos Rinkinys, 2017 In this paper, we investigate the minimizer of the residual for the second order differential problem with one initial and other nonlocal Bitsadze–Samarskii condition. We obtain the representation of the minimizer and present an example.
Gailė Paukštaitė, Artūras Štikonas
doaj +1 more source
Журнал Белорусского государственного университета: Математика, информатика, 2019 Error in the article "On the initial-boundary value problem for a nonlocal parabolic equation with nonlocal boundary condition"
Alexander L. Gladkov +1 more
doaj
On the stability of a fractional-order differential equation with nonlocal initial condition
Electronic Journal of Qualitative Theory of Differential Equations, 2008 The topic of fractional calculus (integration and differentiation of fractional-order), which concerns singular integral and integro-differential operators, is enjoying interest among mathematicians, physicists and engineers. In this work, we investigate
Ahmed El-Sayed +1 more
doaj +1 more source