Forced oscillation of second-order half-linear dynamic equations on time scales.
Forced oscillations for delay motion equations on manifolds.
Forced oscillations in functional differential equations with deviating arguments
Forced oscillations of first order nonlinear neutral differential equations.
Formulas of variation for a solution of neutral differential equations with continuous initial condition.
Fractional integro-differential inclusions with state-dependent delay
In this paper, we establish sufficient conditions for the existence of mild solutions for fractional integro-differential inclusions with state-dependent delay. The techniques rely on fractional calculus, multivalued mapping on a bounded set and Bohnenblust-Karlin's fixed point theorem. Finally, we present an example to illustrate the theory.
Frequency analysis of preconditioned waveform relaxation iterations
The error analysis of preconditioned waveform relaxation iterations for differential systems is presented. This analysis extends and refines previous results by Burrage, Jackiewicz, Nørsett and Renaut by incorporating all terms in the expansion of the error of waveform relaxation iterations in the Laplace transform domain. Lower bounds for the size of the window of rapid convergence are also obtained. The theory is illustrated for waveform relaxation methods applied to differential systems resulting...
From holonomy of the Ising model form factors to -fold integrals and the theory of elliptic curves.
Functional differential equations
The method of quasilinearization is a well-known technique for obtaining approximate solutions of nonlinear differential equations. In this paper we apply this technique to functional differential problems. It is shown that linear iterations converge to the unique solution and this convergence is superlinear.
Functional differential equations - a reciprocity principle.
Functional differential equations in Banach spaces: Growth and decay of solutions.
Functional differential equations of mixed type in Banach spaces
Functional differential equations of third order.
Functional differential equations with infinite delay in Banach spaces.
Functional differential equations with nonlocal initial conditions.
Functional differential inclusions with integral boundary conditions.
Functional differential inequalities with unbounded delay
Classical solutions of functional partial differential inequalities with initial boundary conditions are estimated by maximal solutions of suitable problems for ordinary functional differential equations. Uniqueness of solutions and continuous dependence on given functions are obtained as applications of the comparison result. A theorem on weak functional differential inequalities generated by mixed problems is proved. Our method is based on an axiomatic approach to equations with unbounded delay....
Functional equations of delay type in spaces
Functional evolution equations with nonconvex lower semicontinuous multivalued perturbations.
Functional integro-differential stochastic evolution equations in Hilbert space.