Nonlinear noncoercive boundary value problems
Nonlinear observers for locally uniformly observable systems
This paper deals with the observability analysis and the observer synthesis of a class of nonlinear systems. In the single output case, it is known [4, 5, 6] that systems which are observable independently of the inputs, admit an observable canonical form. These systems are called uniformly observable systems. Moreover, a high gain observer for these systems can be designed on the basis of this canonical form. In this paper, we extend the above results to multi-output uniformly observable systems....
Nonlinear observers for locally uniformly observable systems
This paper deals with the observability analysis and the observer synthesis of a class of nonlinear systems. In the single output case, it is known [4-6] that systems which are observable independently of the inputs, admit an observable canonical form. These systems are called uniformly observable systems. Moreover, a high gain observer for these systems can be designed on the basis of this canonical form. In this paper, we extend the above results to multi-output uniformly observable systems....
Nonlinear oscillations in disconjugate forced functional equations with deviating arguments.
Nonlinear parabolic boundary value problems with the time derivative in the boundary conditions
Nonlinear periodic systems with the -Laplacian: existence and multiplicity results.
Nonlinear perturbations of quasi-linear delay control systems
Nonlinear scalar two-point boundary-value problems on time scales.
Nonlinear separable equations in linear spaces and commutative Leibniz algebras
We consider nonlinear equations in linear spaces and algebras which can be solved by a "separation of variables" obtained due to Algebraic Analysis. It is shown that the structures of linear spaces and commutative algebras (even if they are Leibniz algebras) are not rich enough for our purposes. Therefore, in order to generalize the method used for separable ordinary differential equations, we have to assume that in algebras under consideration there exist logarithmic mappings. Section 1 contains...
Nonlinear singular Navier problem of fourth order.
Nonlinear singularly perturbed systems of differential equations: A survey.
Nonlinear SPP with nonlocal boundary conditions and spectral approximation.
Nonlinear stochastic heat equations with cubic nonlinearities and additive -regular noise in .
Nonlinear surface waves under external forcing
Nonlinear systems of differential inequalities and solvability of certain boundary value problems.
Nonlinear systems of parabolic PDE's for phase change problem
Nonlinear systems of second-order ODEs.
Nonlinear systems with mean curvature-like operators
We give an existence result for a periodic boundary value problem involving mean curvature-like operators. Following a recent work of R. Manásevich and J. Mawhin, we use an approach based on the Leray-Schauder degree.
Nonlinear Time-Fractional Differential Equations in Combustion Science
MSC 2010: 34A08 (main), 34G20, 80A25The application of Fractional Calculus in combustion science to model the evolution in time of the radius of an isolated premixed flame ball is highlighted. Literature equations for premixed flame ball radius are rederived by a new method that strongly simplifies previous ones. These equations are nonlinear time-fractional differential equations of order 1/2 with a Gaussian underlying diffusion process. Extending the analysis to self-similar anomalous diffusion...
Nonlinear triple-point problems on time scales.