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Articles 1 - 8 of 8
Full-Text Articles in Physical Sciences and Mathematics
Sign-Changing And Multiple Solutions For The P-Laplacian, Siegfried Carl, Kanishka Perera
Sign-Changing And Multiple Solutions For The P-Laplacian, Siegfried Carl, Kanishka Perera
Mathematics and System Engineering Faculty Publications
We obtain a positive solution, a negative solution, and a sign-changing solution for a class of p-Laplacian problems with jumping nonlinearities using variational and super-subsolution methods.
Boundary Value Problems On The Half Line In The Theory Of Colloids, Ravi P. Agarwal, Donal O'Regan
Boundary Value Problems On The Half Line In The Theory Of Colloids, Ravi P. Agarwal, Donal O'Regan
Mathematics and System Engineering Faculty Publications
No abstract provided.
Existence Of Solutions For Discontinuous Functional Equations And Elliptic Boundary-Value Problems, Siegfried Carl, Seppo V. Heikkilä
Existence Of Solutions For Discontinuous Functional Equations And Elliptic Boundary-Value Problems, Siegfried Carl, Seppo V. Heikkilä
Mathematics and System Engineering Faculty Publications
We prove existence results for discontinuous functional equations in general Lp-spaces and apply these results to the solvability of implicit and explicit elliptic boundary-value problems involving discontinuous nonlinearities. The main tool in the proof is a fixed point result in lattice-ordered Banach spaces proved by the second author. © 2002 Southwest Texas State University.
Oscillation Criteria For A Class Of Partial Functional-Differential Equations Of Higher Order, Tariel Kiguradze, Takaŝi Kusano, Norio Yoshida
Oscillation Criteria For A Class Of Partial Functional-Differential Equations Of Higher Order, Tariel Kiguradze, Takaŝi Kusano, Norio Yoshida
Mathematics and System Engineering Faculty Publications
Higher order partial differential equations with functional arguments including hyperbolic equations and beam equations are studied. Sufficient conditions are derived for every solution of certain boundary value problems to be oscillatory in a cylindrical domain. Our approach is to reduce the multi-dimensional oscillation problem to a one-dimensional problem for higher order functional differential inequalities.
Stability Analysis Of Nonlinear Lyapunov Systems Associated With An Nth Order System Of Matrix Differential Equations, Kanuri N. Murty, Michael D. Shaw
Stability Analysis Of Nonlinear Lyapunov Systems Associated With An Nth Order System Of Matrix Differential Equations, Kanuri N. Murty, Michael D. Shaw
Mathematics and System Engineering Faculty Publications
This paper introduces the notion of Lipschitz stability for nonlinear nth order matrix Lyapunov differential systems and gives sufficient conditions for Lipschitz stability. We develop variation of parameters formula for the solution of the nonhomogeneous nonlinear nth order matrix Lyapunov differential system. We study observability and controllability of a special system of nth order nonlinear Lyapunov systems.
One-Sided Resonance For Quasilinear Problems With Asymmetric Nonlinearities, Kanishka Perera
One-Sided Resonance For Quasilinear Problems With Asymmetric Nonlinearities, Kanishka Perera
Mathematics and System Engineering Faculty Publications
One-sided resonance for quasilinear problems with asymmetric nonlinearities
Resonance Problems With Respect To The Fučík Spectrum Of The P-Laplacian, Kanishka Perera
Resonance Problems With Respect To The Fučík Spectrum Of The P-Laplacian, Kanishka Perera
Mathematics and System Engineering Faculty Publications
We solve resonance problems with respect to the Fučík spectrum of the p-Laplacian using variational methods.
An Upper And Lower Solution Approach For A Generalized Thomas–Fermi Theory Of Neutral Atoms, Ravi P. Agarwal, Donal O'Regan
An Upper And Lower Solution Approach For A Generalized Thomas–Fermi Theory Of Neutral Atoms, Ravi P. Agarwal, Donal O'Regan
Mathematics and System Engineering Faculty Publications
An upper and lower solution theory for boundary value problems modeled from the Thomas-Fermi equation, was presented. The approach was subjected to a boundary condition corresponding to the neutral atom with Bohr radius. The boundary conditions were investigated for the neutral atoms, the ionized atoms and the isolated neutral atoms.