Forced oscillation of second order nonlinear dynamic equations on time scales.
Forced oscillation of second-order half-linear dynamic equations on time scales.
Forced oscillation of second-order nonlinear dynamic equations on time scales.
Forced oscillation of third order nonlinear dynamic equations on time scales
Consider the third order nonlinear dynamic equation , (*) on a time scale which is unbounded above. The function f ∈ C(,) is assumed to satisfy xf(x) > 0 for x ≠ 0 and be nondecreasing. We study the oscillatory behaviour of solutions of (*). As an application, we find that the nonlinear difference equation , where α ≥ -1, γ > 0, c > 3, is oscillatory.
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.
Forced superlinear oscillations via Picone's identity.
Foreword
Forewords : European Conference on Iteration Theory - ECIT 2010
Form of general pointwise transformations of linear differential equations
Formal adjoints of linear DAE operators and their role in optimal control.
Formally normal ordinary differential operators
Former super-irrécductibles des systèmes différentiels linéaires.
Formulas of variation for a solution of neutral differential equations with continuous initial condition.
Fourier multipliers for Hölder continuous functions and maximal regularity
Two operator-valued Fourier multiplier theorems for Hölder spaces are proved, one periodic, the other on the line. In contrast to the -situation they hold for arbitrary Banach spaces. As a consequence, maximal regularity in the sense of Hölder can be characterized by simple resolvent estimates of the underlying operator.
Fractal analysis of Hopf bifurcation for a class of completely integrable nonlinear Schrödinger Cauchy problems.
Fractional BVPs with strong time singularities and the limit properties of their solutions
In the first part, we investigate the singular BVP , u(0) = A, u(1) = B, c D α u(t)|t=0 = 0, where is a continuous operator, α ∈ (0, 1) and a < 0. Here, c D denotes the Caputo fractional derivative. The existence result is proved by the Leray-Schauder nonlinear alternative. The second part establishes the relations between solutions of the sequence of problems , u(0) = A, u(1) = B, where a < 0, 0 < β n ≤ α n < 1, limn→∞ β n = 1, and solutions of u″+(a/t)u′ = f(t, u, u′) satisfying...
Fractional differential equation with the fuzzy initial condition.
Fractional differential equations in terms of comparison results and Lyapunov stability with initial time difference.