Asymptotic conditions for solving non-symmetric problems of third order nonlinear differential systems.
Asymptotic expansion formulas for the maximum of solutions to diffusive logistic equations.
Asymptotic formulas and critical exponents for two-parameter nonlinear eigenvalue problems.
Asymptotic normality of eigenvalues of random ordinary differential operators
Boundary value problems for ordinary differential equations with random coefficients are dealt with. The coefficients are assumed to be Gaussian vectorial stationary processes multiplied by intensity functions and converging to the white noise process. A theorem on the limit distribution of the random eigenvalues is presented together with applications in mechanics and dynamics.
Asymptotic numerical method for singularly perturbed third order ordinary differential equations with a discontinuous source term.
Asymptotic rates of decay for some nonlinear ordinary differential equations and variational problems of arbitrary order
Asymptotic shape of solutions to nonlinear eigenvalue problems.
Asypmtotic formulas of eigenvalues and eigenfucntions on non-autonomous semilinear Sturm-Liouville problems.
Aufspaltungen linearer gewöhnlicher Differentialoperatoren und der zugehörigen Greenschen Funktion.
Basis properties of a fourth order differential operator with spectral parameter in the boundary condition
We consider a fourth order eigenvalue problem containing a spectral parameter both in the equation and in the boundary condition. The oscillation properties of eigenfunctions are studied and asymptotic formulae for eigenvalues and eigenfunctions are deduced. The basis properties in L p(0; l); p ∈ (1;∞); of the system of eigenfunctions are investigated.
Behavior of positive radial solutions of a quasilinear equation with a weighted Laplacian.
Berechnung des charakteristischen Exponenten der endlichen Hillschen Differentialgleichung durch Numerische Integration.
Bessel matrix differential equations: explicit solutions of initial and two-point boundary value problems
In this paper we consider Bessel equations of the type , where A is an nn complex matrix and X(t) is an nm matrix for t > 0. Following the ideas of the scalar case we introduce the concept of a fundamental set of solutions for the above equation expressed in terms of the data dimension. This concept allows us to give an explicit closed form solution of initial and two-point boundary value problems related to the Bessel equation.
Bifurcation into gaps in the essential spectrum.
Bifurcation of solutions of nonlinear Sturm-Liouville problems.
Book review. Fučík, S., Nečas, J., Souček, J., Souček, V.: Spectral Analysis of Nonlinear Operators
Bound sets and two-point boundary value problems for second order differential systems
The solvability of second order differential systems with the classical separated or periodic boundary conditions is considered. The proofs use special classes of curvature bound sets or bound sets together with the simplest version of the Leray-Schauder continuation theorem. The special cases where the bound set is a ball, a parallelotope or a bounded convex set are considered.
Boundary behavior of blow-up solutions to some weighted nonlinear differential equations.
Boundary Data Maps for Schrödinger Operators on a Compact Interval
We provide a systematic study of boundary data maps, that is, 2 × 2 matrix-valued Dirichlet-to-Neumann and more generally, Robin-to-Robin maps, associated with one-dimensional Schrödinger operators on a compact interval [0, R] with separated boundary conditions at 0 and R. Most of our results are formulated in the non-self-adjoint context. Our principal results include explicit representations of these boundary data maps in terms of the resolvent...
Boundary layer phenomenon for three -point boundary value problem for the nonlinear singularly perturbed systems
This paper deals with the three-point boundary value problem for the nonlinear singularly perturbed second-order systems. Especially, we focus on an analysis of the solutions in the right endpoint of considered interval from an appearance of the boundary layer point of view. We use the method of lower and upper solutions combined with analysis of the integral equation associated with the class of nonlinear systems considered here.