On second order discontinuous differential equations in Banach spaces.
Displaying 61 – 80 of 154
On solvability of a generalized nonlinear variational-like inequality.
Liu, Zeqing, Zheng, Pingping, Ume, Jeong Sheok, Kang, Shin Min (2009)
Journal of Inequalities and Applications [electronic only]
On solvability of functional equations in the space of continuous vector functions.
Kiguradze, I. (1995)
Memoirs on Differential Equations and Mathematical Physics
On solvability of general nonlinear variational-like inequalities in reflexive Banach spaces.
Liu, Zeqing, Sun, Juhe, Shim, Soo Hak, Kang, Shin Min (2005)
International Journal of Mathematics and Mathematical Sciences
On solvability of mixed monotone operator equations with applications to mixed quasimonotone differential systems involving discontinuities.
Heikkilä, S., Kumpulainen, M., Lakshmikantham, V. (1992)
Journal of Applied Mathematics and Stochastic Analysis
On solvability of nonlinear equations.
Lavrent'ev, I.M., Sćepanović, R. (1984)
Publications de l'Institut Mathématique. Nouvelle Série
On solvability of nonlinear operator equations and eigenvalues of homogeneous operators
Věra Burýšková, Slavomír Burýšek (1996)
Mathematica Bohemica
Notions as the numerical range and the spectrum of couple of homogeneous operators on a Banach space are used to derive theorems on solvability of the equation Conditions for the existence of eigenvalues of the couple are given.
On some Banach space constants arising in nonlinear fixed point and eigenvalue theory.
Appell, Jürgen, Erzakova, Nina A., Santana, Sergio Falcon, Väth, Martin (2004)
Fixed Point Theory and Applications [electronic only]
On some results of Moser and of Bangert
P. H. Rabinowitz, E. Stredulinsky (2004)
Annales de l'I.H.P. Analyse non linéaire
On stability and growth of solutions for classes of initial and boundary value problems
L. E. Payne (1985)
Banach Center Publications
On strong convergence by the hybrid method for equilibrium and fixed point problems for an infinite family of asymptotically nonexpansive mappings.
Cai, Gang, Hu, Chang Song (2009)
Fixed Point Theory and Applications [electronic only]
On -stability of Picard iteration in cone metric spaces.
Asadi, M., Soleimani, H., Vaezpour, S.M., Rhoades, B.E. (2009)
Fixed Point Theory and Applications [electronic only]
On the application of Newton's and chord methods of bifurcation problems.
Elgindi, M.B.M. (1994)
International Journal of Mathematics and Mathematical Sciences
On the approximation of some nonlinear equations.
Ioannis K. Argyros (1987)
Aequationes mathematicae
On the blow-up phenomenon for the mass-critical focusing Hartree equation in ℝ⁴
Changxing Miao, Guixiang Xu, Lifeng Zhao (2010)
Colloquium Mathematicae
We characterize the dynamics of the finite time blow-up solutions with minimal mass for the focusing mass-critical Hartree equation with H¹(ℝ⁴) data and L²(ℝ⁴) data, where we make use of the refined Gagliardo-Nirenberg inequality of convolution type and the profile decomposition. Moreover, we analyze the mass concentration phenomenon of such blow-up solutions.
On the Conley index in Hilbert spaces in the absence of uniqueness
Marek Izydorek, Krzysztof P. Rybakowski (2002)
Fundamenta Mathematicae
Consider the ordinary differential equation (1) ẋ = Lx + K(x) on an infinite-dimensional Hilbert space E, where L is a bounded linear operator on E which is assumed to be strongly indefinite and K: E → E is a completely continuous but not necessarily locally Lipschitzian map. Given any isolating neighborhood N relative to equation (1) we define a Conley-type index of N. This index is based on Galerkin approximation of equation (1) by finite-dimensional ODEs and extends...
On the continuous dependence of the fixed points for -contractive-type operators
Memudu Olaposi Olatinwo (2010)
Kragujevac Journal of Mathematics
On the convergence and application of Stirling's method
Ioannis K. Argyros (2003)
Applicationes Mathematicae
We provide new sufficient convergence conditions for the local and semilocal convergence of Stirling's method to a locally unique solution of a nonlinear operator equation in a Banach space setting. In contrast to earlier results we do not make use of the basic restrictive assumption in [8] that the norm of the Fréchet derivative of the operator involved is strictly bounded above by 1. The study concludes with a numerical example where our results compare favorably with earlier ones.
On the convergence for an iterative method for quasivariational inclusions.
Li, Yu, Wu, Changqun (2010)
Fixed Point Theory and Applications [electronic only]
On the convergence of an implicit iterative process for generalized asymptotically quasi-nonexpansive mappings.
Qin, Xiaolong, Kang, Shin Min, Agarwal, Ravi P. (2010)
Fixed Point Theory and Applications [electronic only]