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9 results on '"Mawhin, J."'

2. Coincidence degree and periodic solutions of neutral equations

Author

Hale, J. K and Mawhin, J

Subjects
Mathematics
Abstract

A study is made of the problem of existence of periodic solutions for some nonautonomous neutral functional differential equations. It is essentially an application of a basic theorem on the Fredholm alternative for periodic solutions of some linear neutral equations recently obtained by Hale (1973) and of a generalized Leray-Schauder theory developed by Mawhin (1972, and to appear). Although their proofs are surprisingly simple, the obtained results are nontrivial extensions to the neutral case of a number of recent existence theorems for periodic solutions of functional differential equations.

Published
1974
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3. Coincidence degree and periodic solutions of neutral equations

Author

Hale, J. K and Mawhin, J

Subjects
Mathematics
Abstract

The problem of existence of periodic solutions for some nonautonomous neutral functional differential equations is examined. It is an application of a basic theorem on the Fredholm alternative for periodic solutions of some linear neutral equations and of a generalized Leray-Schauder theory. Although proofs are simple, the results are nontrivial extensions to the neutral case of existence theorems for periodic solutions of functional differential equations.

Published
1973

5. Existence and multiplicity results for periodic solutions of nonlinear difference equations.

Author

Bereanu, C. and Mawhin, J.

Subjects
*NONLINEAR difference equations, *ASYMPTOTIC expansions, *NUMERICAL analysis, *ALGORITHMS, *UNIVERSAL algebra, *MATHEMATICS
Abstract

We use Brouwer degree to prove existence and multiplicity results for the periodic solutions of some nonlinear second-order and first-order difference equations. We obtain, in particular upper and lower solutions theorems, Ambrosetti-Prodi type results and sharp existence conditions for nonlinearities which are bounded from below or above. [ABSTRACT FROM AUTHOR]

Published
2006
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6. Periodic Solutions of Forced Dissipative p-Liénard Equations with Singularities.

Author

Jebelean, P. and Mawhin, J.

Subjects
*EQUATIONS, *ALGEBRA, *TOPOLOGY, *ALGEBRAIC topology, *MATHEMATICAL analysis, *MATHEMATICS
Abstract

Using a recent continuation theorem for periodic solutions of quasilinear equations of p-Laplacian type, we extend some ,results of Habets and Sanchez for positive periodic solutions to equations of the form (|x'|p-2x')'+f(x)x' + g(x) = h(t) with p > 1, |f(x)| ≥ c > 0 g singular at 0. [ABSTRACT FROM AUTHOR]

Published
2004

9. Quadratic forms, weighted eigenfunctions and boundary value problems for non-linear second order ordinary differential equations

Author

Jean Mawhin, Alessandro Fonda, Fonda, Alessandro, and Mawhin, J.

Subjects
Nonlinear system, Differential equation, General Mathematics, Ordinary differential equation, Second order equation, Mathematical analysis, Order (group theory), Boundary value problem, Eigenfunction, Eigenvalues and eigenvectors, Mathematics
Abstract

SynopsisSome known results for different kinds of boundary value problems for second order ordinary differential equations are generalised. Different approaches are compared with one another, using topological and variational methods and the theory of weighted eigenvalue problems.

Published
1989

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