Backward Differentiation Type Formulas for Volterra Integral Equations of the Second Kind.
Backward Euler type methods for parabolic integro-differential equations in Banach space
Backward solutions to nonlinear integro-differential systems
In this paper, we show the backward uniqueness in time of solutions to nonlinear integro-differential systems with Neumann or Dirichlet boundary conditions. We also discuss reasonable physical interpretations for our conclusions.
Behaviour of solutions of an integral equation
Berechnung der ebenen Potentialströmung von rotierenden radialen Profilgittern
Beschränkte Integraloperatoren auf streng q-konvexen Gebieten in Cn.
BIE model of periodic diffraction problems in optics
Optical diffraction on a periodical interface belongs to relatively lowly exploited applications of the boundary integral equations method. This contribution presents a less frequent approach to the diffraction problem based on vector tangential fields of electromagnetic intensities. The problem is formulated as the system of boundary integral equations for tangential fields, for which existence and uniqueness of weak solution is proved. The properties of introduced boundary operators with singular...
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.
Bilinear Expansions of the Kernels of Some Nonselfadjoint Integral Operators
Bilinear expansions of the kernels of some nonselfadjoint integral operators.
Biorthogonal systems approximating the solution of the nonlinear Volterra integro-differential equation.
Block-by-block method for solving nonlinear Volterra-Fredholm integral equation.
Blow-up behavior in nonlocal vs local heat equations
We present some recent results on the blow-up behavior of solutions of heat equations with nonlocal nonlinearities. These results concern blow-up sets, rates and profiles. We then compare them with the corresponding results in the local case, and we show that the two types of problems exhibit "dual" blow-up behaviors.
Blow-up of a non-local semilinear parabolic equation with Neumann boundary conditions
Blow-up of solutions for an integro-differential equation with a nonlinear source.
Blowup of solutions of a nonlinear wave equation.
Blow-up of solutions of a semilinear heat equation with a memory term.
Boltzmann Asymptotics with Diffuse Reflection Boundary Conditions.
Boundary integral equations for mixed boundary value problems in polygonal domains and Galerkin approximation
Boundary integral equations of plane elasticity in domains with peaks.