Results 91 to 100 of about 3,006,945 (193)

Exponential Convergence for Numerical Solution of Integral Equations Using Radial Basis Functions

Journal of Applied Mathematics, 2014
We solve some different type of Urysohn integral equations by using the radial basis functions. These types include the linear and nonlinear Fredholm, Volterra, and mixed Volterra-Fredholm integral equations.
Zakieh Avazzadeh, Mohammad Heydari, Wen Chen, G. B. Loghmani   +3 more
doaj   +1 more source

The existence and uniqueness of the solution for nonlinear Fredholm and Volterra integral equations together with nonlinear fractional differential equations via w-distances

Advances in Difference Equations, 2017
In this work, we establish new fixed point theorems for w-generalized weak contraction mappings with respect to w-distances in complete metric spaces by using the concept of an altering distance function. As an application, we use the obtained results to
Teerawat Wongyat, Wutiphol Sintunavarat
doaj   +1 more source

On some Nonlinear Integral Inequalities for Volterra Integral Equations

Annals of the Alexandru Ioan Cuza University - Mathematics, 2014
Abstract In this paper, we have stated and proved some results on nonlinear integral inequalities and its applications which provide an explicit bound on unknown function and can be used as a tool in the study of certain nonlinear retarded Volterra integral equations.
S.D. Kendre, S.G. Latpate
openaire   +1 more source

Volterra integral and differential equations /

, 2005
Most mathematicians, engineers, and many other scientists are well-acquainted with theory and application of ordinary differential equations. This book seeks to present Volterra integral and functional differential equations in that same framwork ...
Burton, T. A.(Theodore Allen),
core  

Estimating the Dynamics of R&D-based Growth Models [PDF]

Several R&D-based models of endogenous economic growth are investigated under the Solow-like assumption of fixed allocation of resources across activities.
Yuri, YATSENKO, Natali, HRITONENKO, Raouf, BOUCEKKINE   +2 more
core  

Hyers–Ulam–Rassias Stability of Nonlinear Implicit Higher-Order Volterra Integrodifferential Equations from above on Unbounded Time Scales

Mathematics
In this paper, we present sufficient conditions for Hyers-Ulam-Rassias stability of nonlinear implicit higher-order Volterra-type integrodifferential equations from above on unbounded time scales.
Andrejs Reinfelds, Shraddha Christian
doaj   +1 more source

Regularity of backward stochastic volterra integral equations in Hilbert spaces

, 2010
This article investigates backward stochastic Volterra integral equations in Hilbert spaces. The existence and uniqueness of their adapted solutions is reviewed. We establish the regularity of the adapted solutions to such equations by means of Malliavin
Anh, Vo, Wilfried Grecksch, Yong, Jiongmin, Anh, Vo V., Vo V. Anh, Grecksch, Wilfried, Jiongmin Yong   +6 more
core   +1 more source

Qualitative properties of nonlinear Volterra integral equations

Electronic Journal of Qualitative Theory of Differential Equations, 2008
In this article, the contraction mapping principle and Liapunov's method are used to study qualitative properties of nonlinear Volterra equations of the form $x(t) = a(t) -\int^{t}_{0}C(t,s)g(s,x(s))\;ds,t\geq0.$ In particular, the existence of bounded ...
Muhammad Islam, Jeffrey Neugebauer
doaj   +1 more source

Some Nonlinear Delay Volterra–Fredholm Type Dynamic Integral Inequalities on Time Scales

Discrete Dynamics in Nature and Society, 2018
We are devoted to studying a class of nonlinear delay Volterra–Fredholm type dynamic integral inequalities on time scales, which can provide explicit bounds on unknown functions.
Yazhou Tian, A. A. El-Deeb, Fanwei Meng
doaj   +1 more source

Existence theory for nonlinear volterra integral and differential equations

Journal of Inequalities and Applications, 2001
The technique of measures of noncompactness and measures of weak noncompactness is used in order to derive existence results for integrodifferential equation of the form \[ y'(t)= f\left(t,y(t), \int^t_0 k\bigl(t,s,y(s)\bigr)ds \right),\;t\in[0,T],\;y(0)=0.
openaire   +3 more sources