Construction of second order linear differential equations with solutions of prescribed properties
Construction of the general solution of planar linear discrete systems with constant coefficients and weak delay.
Construction of upper and lower solutions for singular discrete initial and boundary value problems via inequality theory.
Constructions of lower and upper solutions for a nonlinear boundary value problem of the third order and their applications
Constructive method for solving a nonlinear singularly perturbed system of differential equations in critical case.
Constructive solution of coupled second order delay differential equations with variable coefficients.
Contact Lie algebras of vector fields on the plane.
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Continuability and boundedness of solutions to nonlinear second-order differential equations.
Continuability and estimates of solutions of (a(t)ψ(x)x')' + c(t)f(x) = 0
Continuability, boundedness, and convergence to zero of solutions of a perturbed nonlinear ordinary differential equation
Continuity of solutions of a quasilinear hyperbolic equation with hysteresis
This paper is devoted to the investigation of quasilinear hyperbolic equations of first order with convex and nonconvex hysteresis operator. It is shown that in the nonconvex case the equation, whose nonlinearity is caused by the hysteresis term, has properties analogous to the quasilinear hyperbolic equation of first order. Hysteresis is represented by a functional describing adsorption and desorption on the particles of the substance. An existence result is achieved by using an approximation of...
Continuity of the non-convex play operator in the space of rectifiable curves
We prove that the vector play operator with a uniformly prox-regular characteristic set of constraints is continuous with respect to the -norm and to the -strict metric in the space of rectifiable curves, i.e., in the space of continuous functions of bounded variation. We do not assume any further regularity of the characteristic set. We also prove that the non-convex play operator is rate independent.
Continuity properties of solutions of multivalued equations with white noise perturbation.
Continuity versus nonexistence for a class of linear stochastic Cauchy problems driven by a Brownian motion
Let denote the generator of the rotation group in the space , where denotes the unit circle. We show that the stochastic Cauchy problem where is a standard Brownian motion and is fixed, has a weak solution if and only if the stochastic convolution process has a continuous modification, and that in this situation the weak solution has a continuous modification. In combination with a recent result of Brzeźniak, Peszat and Zabczyk it follows that (1) fails to have a weak solution for all...