On two boundary value problems for mixed type equations with perpendicular lines of type change.
On Volterra-Stieltjes integral equations
On weak brownian motions of arbitrary order
One-step methods for neutral delay-differential equations with state dependent delays
Oscillation of Volterra integral equations and forced functional differential equations.
Periodic solutions of neutral delay integral equations of advanced type.
Periodic solutions of Volterra integral equations.
Problem of optimal control with one-sided mixed restrictions for controlled objects described by integral equations with measure.
Properties of some integrals related to partial differential equations of order higher than two
We construct fundamental solutions of some partial differential equations of order higher than two and examine properties of these solutions and of some related integrals. The results will be used in our next paper concerning boundary-value problems for these equations.
Qualitative properties of nonlinear Volterra integral equations.
Realization theory methods for the stability investigation of nonlinear infinite-dimensional input-output systems
Realization theory for linear input-output operators and frequency-domain methods for the solvability of Riccati operator equations are used for the stability and instability investigation of a class of nonlinear Volterra integral equations in a Hilbert space. The key idea is to consider, similar to the Volterra equation, a time-invariant control system generated by an abstract ODE in a weighted Sobolev space, which has the same stability properties as the Volterra equation.
Reducing increasing monotonicity of kernels.
Remarks on a nonlinear Volterra equation
Remarks on the controllability of nonlinear perturbations of Volterra integrodifferential systems.
Remarks on the Existence of Nontrivial Solutions for a Class of Volterra Equations with Smooth Kernels.
Rentrée en validité dans l'assurance-invalidité. I
Rentrée en validité dans l'assurance-invalidité. II.
Resolvents, integral equations, limit sets
In this paper we study a linear integral equation , its resolvent equation , the variation of parameters formula , and a perturbed equation. The kernel, , satisfies classical smoothness and sign conditions assumed in many real-world problems. We study the effects of perturbations of and also the limit sets of the resolvent. These results lead us to the study of nonlinear perturbations.
Smoothness Properties of Solutions of Caputo-Type Fractional Differential Equations
Mathematics Subject Classification: 26A33, 34A25, 45D05, 45E10We consider ordinary fractional differential equations with Caputo-type differential operators with smooth right-hand sides. In various places in the literature one can find the statement that such equations cannot have smooth solutions. We prove that this is wrong, and we give a full characterization of the situations where smooth solutions exist. The results can be extended to a class of weakly singular Volterra integral equations.
Solution of nonlinear Volterra-Hammerstein integral equations via single-term Walsh series method.