Integrodifferential equations with analytic semigroups.
Integro-differential-difference equations associated with the Dunkl operator and entire functions
In this work we consider the Dunkl operator on the complex plane, defined by We define a convolution product associated with denoted and we study the integro-differential-difference equations of the type , where is a sequence of complex numbers and is a measure over the real line. We show that many of these equations provide representations for particular classes of entire functions of exponential type.
Interaction between coefficient conditions and solution conditions of differential equations in the unit disk.
Interior error estimates of projection methods
Internal modes of solitons and near-integrable highly-dispersive nonlinear systems.
Internal properness and stability in linear systems
Intertwined mappings
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...
Interval oscillation of second-order Emden-Fowler neutral delay differential equations.
Intervalles d'instabilité pour une équation de Hill à potentiel méromorphe
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.
Introducing randomness into first-order and second-order deterministic differential equations.
Introduction à la résurgence quantique
Invariant foliations and stability in critical cases.
Invariant manifolds and almost automorphic solutions of second-order monotone equations