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We consider the problem of state and parameter estimation for a class of nonlinear oscillators defined as a system of coupled nonlinear ordinary differential equations. Observable variables are limited to a few components of state vector and an input signal. This class of systems describes a set of canonic models governing the dynamics of evoked potential in neural membranes, including Hodgkin-Huxley, Hindmarsh-Rose, FitzHugh-Nagumo, and Morris-Lecar...

On a canonical two-dimensional space of continuous functions

Jitka Laitochová (1988)

Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica

On a certain modification of Sturm's comparison theorem

Miloš Háčik (1972)

Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica-Physica-Chemica

On a certain result of J. D. Keckic.

Lazov, Petar R., Piperevski, Boro M. (1980)

Publications de l'Institut Mathématique. Nouvelle Série

On a certain transformation of the solution set of two linear second order differential equations

Staněk, Svatoslav (1983)

Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica

On a certain type of functional differential equations

Michal Fečkan (1993)

Mathematica Slovaca

On a class of first order nonlinear functional differential equations of neutral type

Jaroslav Jaroš, Takaŝi Kusano (1990)

Czechoslovak Mathematical Journal

On a class of forced nonlinear oscillators at resonance

Bonheure, Denis, Fabry, Christian, Smets, Didier (2002)

Equadiff 10

On a class of fourth order half-linear differential equations

Sui-Sun Cheng (1980)

Czechoslovak Mathematical Journal

On a class of linear $n$ -th order differential equations

Valter Šeda (1989)

Czechoslovak Mathematical Journal

On a codimension 3 bifurcation of plane vector fields with $Z_{2}$ symmetry

Milan Medveď (1990)

Czechoslovak Mathematical Journal

On a coincidence of central dispersions of the first and second kind in connection with periodic solutions of the differential equation $y^{'} = q (t) y$

Irena Rachůnková (1975)

Archivum Mathematicum

On a coincidence of the differential equation $y^{''} - q (t) y = r (t)$ with its associated equation

Miloslav Fialka (1988)

Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica

On a conjecture about an integral criterion for oscillation

Uri Elias, Anton Škerlík (1998)

Archivum Mathematicum

We discuss an open question of Kiguradze and Chanturia about Property $A$ and Property $B$ for the equation $y^{(n)} + p y = 0$ . The proposed integral criterion is proved in a few cases.

On a criterion of the absence of strongly increasing solutions of the Emden-Fowler equation.

Rabtsevich, V.A. (1997)

Memoirs on Differential Equations and Mathematical Physics

On a distribution of zeros of solutions of a fourth-order iterated linear differential equation

Vladimír Vlček (1978)

Sborník prací Přírodovědecké fakulty University Palackého v Olomouci. Matematika

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