Results 111 to 120 of about 26,274 (211)

A Singular Nonlinear Volterra Integral Equation

open access: yesJournal of Integral Equations and Applications, 1993
Many problems in Applied Mathematics lead to the study of the nonlinear partial differential equation \(u_ t = (a(u))_{xx} + (b(u))_ x + c(u)\). The interest in the existence of travelling-wave solutions of the form \(U(x,t) = U(\psi)\), \(\psi = x - \lambda t\), originates an ordinary differential equation from which arise integral equations of the ...
openaire   +4 more sources

A Novel Third Order Numerical Method for Solving Volterra Integro-Differential Equations

open access: yes, 2016
In this paper we introduce a numerical method for solving nonlinear Volterra integro-differential equations. In the first step, we apply implicit trapezium rule to discretize the integral in given equation.
Bhalekar, Sachin, Patade, Jayvant
core  

A Generalized Nonlinear Volterra-Fredholm Type Integral Inequality and Its Application

open access: yesJournal of Applied Mathematics, 2014
We establish a new nonlinear retarded Volterra-Fredholm type integral inequality. The upper bounds of the embedded unknown functions are estimated explicitly by using the theory of inequality and analytic techniques.
Limian Zhao, Shanhe Wu, Wu-Sheng Wang
doaj   +1 more source

A note on Volterra integral equations and topological dynamics [PDF]

open access: yes
Topological dynamics theory applied to nonlinear Volterra ...
Miller, R. K., Sell, G. R.
core   +1 more source

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