Integraltransformationen zu singulären S-Hermiteschen Rand-Eigenwertproblemen.
Integration of asymptotically almost periodic functions and weak asymptotic almost periodicity [Book]
Interval criteria for oscillation of second order self-adjoint matrix differential systems
By employing the matrix Riccati technique and the integral averaging technique, new interval oscillation criteria are established for second-order matrix differential systems of the form [P(t)Y']' + Q(t)Y = 0.
Interval criteria for oscillation of second-order impulsive differential equation with mixed nonlinearities.
Interval oscillation criteria for second order forced nonlinear matrix differential equations.
Interval oscillation criteria for second order self-adjoint matrix differential systems with damping
By using the generalized Riccati technique and the averaging technique, we establish new oscillation criteria for the second order self-adjoint matrix differential system with damping (P(t)Y'(t))' + r(t)P(t)Y'(t) + Q(t)Y(t) = 0, t ≥ t₀. The criteria are different from most known ones in the sense that they are based on the information only on a sequence of subintervals of [t₀,∞), rather than on the whole half-line. In particular, our results complement a number of...
Interval Oscillation for Second Order Nonlinear Differential Equations with a Damping Term
2000 Mathematics Subject Classification: 34C10, 34C15.It is the purpose of this paper to give oscillation criteria for the second order nonlinear differential equation with a damping term (a(t) y′(t))′ + p(t)y′(t) + q(t) |y(t)| α−1 y(t) = 0, t ≥ t0, where α ≥ 1, a ∈ C1([t0,∞);(0,∞)) and p,q ∈ C([t0,∞);R). Our results here are different, generalize and improve some known results for oscillation of second order nonlinear differential equations that are different from most known ones in the sencse...
Intracellular Modelling of Cell-Matrix Adhesion during Cancer Cell Invasion
When invading the tissue, malignant tumour cells (i.e. cancer cells) need to detach from neighbouring cells, degrade the basement membrane, and migrate through the extracellular matrix. These processes require loss of cell-cell adhesion and enhancement of cell-matrix adhesion. In this paper we present a mathematical model of an intracellular pathway for the interactions between a cancer cell and the extracellular matrix. Cancer cells use similar...
Introducing a scavenger onto a predator prey model.
Invariant manifolds and cluster synchronization in a family of locally coupled map lattices.
Invariant manifolds and the concept of asymptotic phase
Invariant tori for periodically perturbed oscillators.
The response of an oscillator to a small amplitude periodic excitation is discussed. In particular, sufficient conditions are formulated for the perturbed oscillator to have an invariant torus in the phase cylinder. When such an invariant torus exists, some perturbed solutions are in the basin of attraction of this torus and are thus entrained to the dynamical behavior of the perturbed system on the torus. In particular, the perturbed solutions in the basin of attraction of the invariant torus are...
Invariants of kinetic differential equations.
Inverse problems connected with periods of oscillations described by ẍ + g(x) = 0
Inverse problems in the theory of analytic planar vector fields.
In this communication we state and analyze the new inverse problems in the theory of differential equations related to the construction of an analytic planar verctor field from a given, finite number of solutions, trajectories or partial integrals.Likewise, we study the problem of determining a stationary complex analytic vector field Γ from a given, finite subset of terms in the formal power series (...).
Inversion in indirect optimal control of multivariable systems
This paper presents the role of vector relative degree in the formulation of stationarity conditions of optimal control problems for affine control systems. After translating the dynamics into a normal form, we study the Hamiltonian structure. Stationarity conditions are rewritten with a limited number of variables. The approach is demonstrated on two and three inputs systems, then, we prove a formal result in the general case. A mechanical system example serves as illustration.
Involutions and iterates of central dispersions
Isolated periodic minima are unstable
Jacobische Differentialgleichung mit hyperbolischen Phasen die der primitiven Funktion zur Quadratwurzel aus ihrem Träger gleich sind
Justification of the averaging method for functional-differential equations with maximums.