Appendix to the Paper ''Existence Theorems for Lp-solutions of Integral Equations in Banach Spaces''
Application of a trapezoid inequality to neutral Fredholm integro-differential equations in Banach spaces.
Approximate solutions for integrodifferential equations of the neutral type
The main objective of the present paper is to study the approximate solutions for integrodifferential equations of the neutral type with given initial condition. A variant of a certain fundamental integral inequality with explicit estimate is used to establish the results. The discrete analogues of the main results are also given.
Associated transforms for solution of nonlinear equations.
Asymptotic behavior of a certain functional equation via limiting equations
Asymptotic behavior of solutions for nonlinear Volterra discrete equations.
Asymptotic behavior of solutions to functional integral equation with deviating arguments.
Asymptotic error expansions for linear multistep methods for a class delay integro-differential 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 solutions of forced nonlinear second order differential equations and their extensions.
Asymptotics of integrodifferential models with integrable kernels II.
Bifurcation theory of the time-dependent von Kármán equations
In this paper the author studies existence and bifurcation of a nonlinear homogeneous Volterra integral equation, which is derived as the first approximation for the solution of the time dependent generalization of the von Kármán equations. The last system serves as a model for stability (instability) of a thin rectangular visco-elastic plate whose two opposite edges are subjected to a constant loading which depends on the parameters of proportionality of this boundary loading.
Biorthogonal systems approximating the solution of the nonlinear Volterra integro-differential equation.
Block-by-block method for solving nonlinear Volterra-Fredholm integral equation.
Boyd index and nonlinear Volterra equations.
In mathematical models of some physical phenomena a new class of nonlinear Volterra equations appears ([5],[6]). The equations belonging to this class have u = 0 as a solution (trivial solution), but with respect to their physical meaning, nonnegative nontrivial solutions are of prime importance.
Branch points of algebraic integral equations
Continuity, compactness, fixed points, and integral equations.
Continuous dependence for semilinear parabolic functional equations without uniqueness
Controllability of Infinite Rime Horizon of Neutral Functional Differential and Integrodifferential Inclusions in Banach Spaces