Results 61 to 70 of about 1,168 (146)
International Journal of Stochastic Analysis, Volume 12, Issue 1, Page 91-97, 1999., 1998 The aim of this paper is to investigate the existence and uniqueness of a classical solution to a functional‐differential abstract nonlocal Cauchy problem in a general Banach space. For this purpose, a special kind of a mild solution is introduced and the Banach contraction theorem and a modified Picard method are applied.
Ludwik Byszewski
wiley +1 more source
New approach to asymptotic stability: time‐varying nonlinear systems
International Journal of Mathematics and Mathematical Sciences, Volume 20, Issue 2, Page 347-366, 1997., 1995 The results of the paper concern a broad family of time‐varying nonlinear systems with differentiable motions. The solutions are established in a form of the necessary and sufficient conditions for: 1) uniform asymptotic stability of the zero state, 2) for an exact single construction of a system Lyapunov function and 3) for an accurate single ...
L. T. Grujić
wiley +1 more source
A novel integrability analysis of a generalized Riemann type hydrodynamic hierarchy
, 2018 The complete integrability of a generalized Riemann type hydrodynamic hierarchy is studied by means of a novel combination of symplectic and differential-algebraic tools.
A. Samoilenko +3 more
semanticscholar +1 more source
Extension of the method of quasilinearization for stochastic initial value problems
International Journal of Stochastic Analysis, Volume 8, Issue 1, Page 69-75, 1995., 1994 In this paper we extend the method of quasilinearization to stochastic initial value problems. Further we prove that the iterates converge uniformly almost surely to the unique solution and the convergence is quadratic.
N. Shahzad, Farzana A. McRae
wiley +1 more source
Stability analysis of second-order differential systems with Erlang distribution random impulses
, 2013 Differential systems with random impulses are a new kind of mathematical models. In this paper, we put forward a model of second-order impulsive differential systems with Erlang distribution random impulses.
Shuorui Zhang, Jitao Sun
semanticscholar +1 more source
Friedmann equations as n-dimensional dynamical system
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2023 In this paper we study dynamics of the standard cosmological model of the universe assuming that it is filled with n types of non-interacting barotropic perfect fluids.
Branković Danijela
doaj +1 more source
On the existence of new integrable cases for Euler-Poisson equations in Newtonian fields
Alexandria Engineering Journal, 2019 In this article, the rotational motion of a non-symmetric rigid body about a fixed point under the action of multi-Newtonian centers located on one fixed axis is considered.
Mohamed El-Borhamy
doaj +1 more source
Some properties of solutions to a planar system of nonlinear differential equations
Studia Universitatis Babeş-Bolyai. Mathematica, 2018 In this paper we present for the solutions of a planar system of differential equations, extremal principle, Nicolescu-type and Butlewski-type separation theorems. Some applications and examples are given. Mathematics Subject Classification (2010): 34A12,
V. Ilea, D. Otrocol
semanticscholar +1 more source
, 2019 In this study, we have studied the multi-order differential equations. The model we have followed agrees with initial value problem which, in its turn, has a group of linear ordinary differential equations.
Ghassan A. Al-Juaifri +2 more
semanticscholar +1 more source
Bounds on some new weakly singular Wendroff-type integral inequalities and applications
, 2013 With a more concise condition for the ordered parameter groups, some nonlinear weakly singular integral inequalities of Wendroff type, which generalize some existing results, are established.
K. Zheng
semanticscholar +1 more source