Singular integral inequalities and stability of semilinear parabolic equations
Using a method developed by the author for an analysis of singular integral inequalities a stability theorem for semilinear parabolic PDEs is proved.
Singular lines in liquid crystals
Singular nonlinear conjugate boundary value problems.
Singular nonlinear problem for ordinary differential equation of the second order
The paper deals with the singular nonlinear problem where , . We prove the existence of a solution to this problem which is positive on under the assumption that the function is nonnegative and can have time singularities at , and space singularity at . The proof is based on the Schauder fixed point theorem and on the method of a priori estimates.
Singular periodic problem for nonlinear ordinary differential equations with -Laplacian.
Singular perturbation for nonlinear boundary-value problems.
Singular perturbation for the Dirichlet boundary control of elliptic problems
A current procedure that takes into account the Dirichlet boundary condition with non-smooth data is to change it into a Robin type condition by introducing a penalization term; a major effect of this procedure is an easy implementation of the boundary condition. In this work, we deal with an optimal control problem where the control variable is the Dirichlet data. We describe the Robin penalization, and we bound the gap between the penalized and the non-penalized boundary controls for the small...
Singular perturbation for the Dirichlet boundary control of elliptic problems
A current procedure that takes into account the Dirichlet boundary condition with non-smooth data is to change it into a Robin type condition by introducing a penalization term; a major effect of this procedure is an easy implementation of the boundary condition. In this work, we deal with an optimal control problem where the control variable is the Dirichlet data. We describe the Robin penalization, and we bound the gap between the penalized and the non-penalized boundary controls for the small...
Singular perturbations and linear feedback control
Singular perturbations for systems of differential inclusions
We study a system of two differential inclusions such that there is a singular perturbation in the second one. We state new convergence results of solutions under assumptions concerning contingent derivative of the perturbed inclusion. These results state that there exists at least one family of solutions which converges to some solution of the reduced system. We extend this result to perturbed systems with state constraints.
Singular perturbations in foliations.
Singular perturbations of ordinary differential equations in Colombeau spaces
Singular perturbations with several parameters
Singular points and Lie rotated vector fields.
Singular positone and semipositone boundary value problems of nonlinear fractional differential equations.
Singular positone and semipositone boundary value problems of second order delay differential equations
In this paper we present some new existence results for singular positone and semipositone boundary value problems of second order delay differential equations. Throughout our nonlinearity may be singular in its dependent variable.
Singular problems on the half-line
The paper investigates singular nonlinear problems arising in hydrodynamics. In particular, it deals with the problem on the half-line of the form
Singular quadratic functionals and transformation of linear Hamiltonian systems
Singular quadratic functionals of one dependent variable
Singular quadratic functionals of one dependent variable with nonseparated boundary conditions are investigated. Necessary and sufficient conditions for nonnegativity of these functionals are derived using the concept of coupled point and singularity condition. The paper also includes two comparison theorems for coupled points with respect to the various boundary conditions.
Singular second-order multipoint dynamic boundary value problems with mixed derivatives.