Results 51 to 60 of about 258 (102)

FLOW WITH $A_{\infty }(\mathbb{R})$ DENSITY AND TRANSPORT EQUATION IN $\text{BMO}(\mathbb{R})$

Forum of Mathematics, Sigma, 2019
We show that, if $b\in L^{1}(0,T;L_{\operatorname{loc}}^{1}(\mathbb{R}))$ has a spatial derivative in the John–Nirenberg space $\operatorname{BMO}(\mathbb{R})$, then it generates a unique flow $\unicode[STIX]{x1D719}(t,\cdot )$ which has an $A_{\infty }(\
RENJIN JIANG, KANGWEI LI, JIE XIAO
doaj   +1 more source

Existence and approximation of solutions of some first order iterative differential equations

, 2010
Existence theorems for some iterative differential equations as well as convergence theorems for a fixed point iterative method designed to approximate these solutions, are proved under weaker conditions than those due to A.
V. Berinde
semanticscholar   +1 more source

Existence results for nonlocal boundary value problems of fractional differential equations and inclusions with strip conditions

, 2012
This article studies a new class of nonlocal boundary value problems of nonlinear differential equations and inclusions of fractional order with strip conditions.
B. Ahmad, S. Ntouyas
semanticscholar   +1 more source

Existence and dimension of the set of mild solutions to semilinear fractional differential inclusions

, 2012
This article studies the existence and dimension of the set for mild solutions of semilinear fractional differential inclusions. We recall and prove some new results on multivalued maps to establish our main results.MSC 2010: 34A12; 34A40.
R. Agarwal, B. Ahmad, A. Alsaedi, N. Shahzad   +3 more
semanticscholar   +1 more source

DHAGE ITERATION METHOD FOR APPROXIMATING THE POSITIVE SOLUTIONS OF IVPS FOR NONLINEAR FIRST ORDER QUADRATIC NEUTRAL FUNCTIONAL DIFFERENTIAL EQUATIONS WITH DELAY AND MAXIMA

, 2018
In this paper, the authors prove an existence and approximation theorem for positive solutions to a nonlinear first order quadratic hybrid neutral functional differential equations with delay and maxima under mixed geometric, algebraic, and topological ...
B. Dhage, S. Dhage, J. Graef
semanticscholar   +1 more source

Some retarded nonlinear integral inequalities and their applications in retarded differential equations

, 2012
In this article, we discuss some generalized retarded nonlinear integral inequalities, which not only include nonlinear compound function of unknown function but also include retard items, and give upper bound estimation of the unknown function by ...
Wu-Sheng Wang
semanticscholar   +1 more source

A nonlocal three-point inclusion problem of Langevin equation with two different fractional orders

, 2012
This article studies the existence of solutions for a three-point inclusion problem of Langevin equation with two fractional orders. Our main tools of study include a nonlinear alternative of Leray-Schauder type, selection theorem due to Bressan and ...
B. Ahmad, J. Nieto, A. Alsaedi
semanticscholar   +1 more source

On linear ODEs with a time singularity of the first kind and unsmooth inhomogeneity

, 2014
In this paper we investigate the analytical properties of systems of linear ordinary differential equations (ODEs) with unsmooth nonintegrable inhomogeneities and a time singularity of the first kind.
J. Burkotová, I. Rachunková, S. Stanek, E. Weinmüller   +3 more
semanticscholar   +1 more source

Positivity and contractivity in the dynamics of clusters’ splitting with derivative of fractional order

Open Mathematics, 2015
Classical models of clusters’ fission have failed to fully explain strange phenomenons like the phenomenon of shattering (Ziff et al., 1987) and the sudden appearance of infinitely many particles in some systems with initial finite particles number ...
Goufo Emile Franc Doungmo, Mugisha Stella   +1 more
doaj   +1 more source

Interval-valued functional integro-differential equations

, 2014
This paper is devoted to studying the local and global existence and uniqueness results for interval-valued functional integro-differential equations (IFIDEs).
N. Hoa, N. Phu, T. T. Tung, Le Thanh Quang   +3 more
semanticscholar   +1 more source