An initial value problem fora third order differential equation
For an initial value problem u'''(x) = g(u(x)), u(0) = u'(0) = u''(0) = 0, x > 0, some theorems on existence and uniqueness of solutions are established.
An integral equation technique for solving mixed boundary value problems
An integral inequality of convolution type.
An integral inequality of convolution type. (Summary).
An Integral Inequality Similar to Bellman-Bihari inequality
An operational Haar wavelet method for solving fractional Volterra integral equations
A Haar wavelet operational matrix is applied to fractional integration, which has not been undertaken before. The Haar wavelet approximating method is used to reduce the fractional Volterra and Abel integral equations to a system of algebraic equations. A global error bound is estimated and some numerical examples with smooth, nonsmooth, and singular solutions are considered to demonstrate the validity and applicability of the developed method.
Analysis of periodic solutions for nonlinear coupled integro-differential systems with variable delays
The objective of this work is the application of Krasnosel'skii's fixed point technique to prove the existence of periodic solutions of a system of coupled nonlinear integro-differential equations with variable delays. An example is given to illustrate this work.
Analytical techniques for a numerical solution of the linear Volterra integral equation of the second kind.
Applications of one- and two-dimensional Volterra inequalities in differential equations of the hyperbolic type.
Approximate solution of the one-dimensional heat conduction equation by the boundary element method
Approximation of Infinite Delay and Volterra Type Equations.
Asymptotic behavior of a certain functional equation via limiting equations
Asymptotic estimates of the solutions of nonlinear integral equations and asymptotic speeds for the spread of populations.
Asymptotic Expansions for Multistep Methods Applied to Nonlinear Volterra Integral Equations of the Second Kind.
Asymptotic properties of Markov operators defined by Volterra type integrals
New sufficient conditions for asymptotic stability of Markov operators are given. These criteria are applied to a class of Volterra type integral operators with advanced argument.
Asymptotic properties of solutions of discrete Volterra equation
Asymptotic solutions of forced nonlinear second order differential equations and their extensions.
Asymptotic stability results for certain integral equations.
Asymptotically almost periodic and almost periodic solutions for a class of partial integro-differential equations.
Automorphisms of C commuting with partial integration operators in a rectangle
Convolutional representations of the commutant of the partial integration operators in the space of continuous functions in a rectangle are found. Necessary and sufficient conditions are obtained for two types of representing functions, to be the operators in the commutant continuous automorphisms. It is shown that these conditions are equivalent to the requirement that the considered representing functions be joint cyclic elements of the partial integration operators.