Results 31 to 40 of about 552 (107)
International Journal of Mathematics and Mathematical Sciences, Volume 2004, Issue 37, Page 1943-1956, 2004., 2004 This paper deals with the applications of the method of semidiscretization in time to a nonlinear retarded differential equation with a nonlocal history condition. We establish the existence and uniqueness of a strong solution. Finally, we consider some applications of the abstract results.
S. Agarwal, D. Bahuguna
wiley +1 more source
Demonstratio Mathematica, 2019 The objective of this article is to discuss the existence and uniqueness of mild solutions for a class of non-autonomous semilinear differential equations with nonlocal condition via monotone iterative method with upper and lower solutions in an ordered ...
Meraj Arshi, Pandey Dwijendra Narain
doaj +1 more source
Nonlinear Time-Fractional Differential Equations in Combustion Science [PDF]
, 2011 MSC 2010: 34A08 (main), 34G20, 80A25The application of Fractional Calculus in combustion science to model the evolution in time of the radius of an isolated premixed flame ball is highlighted.
Pagnini, Gianni
core +1 more source
, 2013 In this paper, we establish the controllability for a class of abstract impulsive mixed-type functional integro-differential equations with finite delay in a Banach space.
J. Machado +3 more
semanticscholar +1 more source
Existence, uniqueness, and regularity of solutions to semilinear retarded differential equations
International Journal of Stochastic Analysis, Volume 2004, Issue 3, Page 213-219, 2004., 2004 In the present work, we consider a semilinear retarded differential equation in a Banach space. We first establish the existence and uniqueness of a mild solution and then prove its regularity under different additional conditions. Finally, we consider some applications of the abstract results.
D. Bahuguna
wiley +1 more source
The implicit midpoint rule for nonexpansive mappings
, 2014 The implicit midpoint rule (IMR) for nonexpansive mappings is established. The IMR generates a sequence by an implicit algorithm. Weak convergence of this algorithm is proved in a Hilbert space.
M. Alghamdi +3 more
semanticscholar +1 more source
On a nonlocal Cauchy problem for differential inclusions
Abstract and Applied Analysis, Volume 2004, Issue 5, Page 425-434, 2004., 2004 We establish sufficient conditions for the existence of solutions for semilinear differential inclusions, with nonlocal conditions. We rely on a fixed‐point theorem for contraction multivalued maps due to Covitz and Nadler andon the Schaefer′s fixed‐point theorem combined with lower semicontinuous multivalued operators with decomposable values.
E. Gatsori, S. K. Ntouyas, Y. G. Sficas
wiley +1 more source
Abstract and Applied Analysis, Volume 2004, Issue 6, Page 525-541, 2004., 2004 We investigate the existence of mild solutions on acompact interval to some classes of semilinear neutral functional differential inclusions. We will rely on a fixed‐point theorem for contraction multivalued maps due to Covitz and Nadler and on Schaefer′s fixed‐point theorem combined with lower semicontinuous multivalued operators with decomposable ...
M. Benchohra, E. Gatsori, S. K. Ntouyas
wiley +1 more source
Open Mathematics, 2018 This paper is devoted to study the existence and regularity of mild solutions in some interpolation spaces for a class of functional partial differential equations with nonlocal initial conditions. The linear part is assumed to be a sectorial operator in
Zhang Xuping, Chen Qiyu, Li Yongxiang
doaj +1 more source
ANALYTICAL SOLUTIONS OF THE IVANCEVIC OPTION PRICING MODEL WITH A NONZERO ADAPTIVE MARKET POTENTIAL
, 2017 The Ivancevic option pricing model (IOPM) is a nonlinear adaptive-wave alternative for the classical Black-Scholes option pricing model, representing a controlled Brownian motion in an adaptive setting relating to nonlinear Schrödinger equation.
S. Edeki +2 more
semanticscholar +1 more source