Results 41 to 50 of about 2,094 (218)

A class of abstract quasi-linear evolution equations of second order

open access: yes, 1999
In this paper we study the abstract quasi-linear evolution equation of second order formula here in a general banach space z. it is well-known that the abstract quasi-linear theory due to kato [10, 11] is widely applicable to quasi-linear partial ...
NAOKI TANAKA, Tanaka, Naoki
core   +1 more source

Approximating Fixed Points of Nonself Contractive Type Mappings in Banach Spaces Endowed with a Graph

open access: yesAnalele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2016
Let K be a non-empty closed subset of a Banach space X endowed with a graph G. We obtain fixed point theorems for nonself G-contractions of Chatterjea type.
Balog Laszlo   +2 more
doaj   +1 more source

Existence of positive solutions for singular impulsive differential equations with integral boundary conditions on an infinite interval in Banach spaces

open access: yesElectronic Journal of Qualitative Theory of Differential Equations, 2011
In this paper, the Mönch fixed point theorem is used to investigate the existence of positive solutions for the second-order boundary value problem with integral boundary conditions of nonlinear impulsive differential equations on an infinite interval in
Xu Chen, Xingqiu Zhang
doaj   +1 more source

Extremal solutions to a class of multivalued integral equations in Banach space

open access: yes, 1992
We consider a nonlinear Volterra integral inclusion in a Banach space. We establish the existence of extremal integral solutions, and we show that they are dense in the solution set of the original equation. As an important application, we obtain a “bang-
Papageorgiou, N   +3 more
core   +1 more source

Optimal control of stochastic partial differential equations in Banach spaces [PDF]

open access: yes, 2010
In this thesis we study optimal control problems in Banach spaces for stochastic partial differential equations. We investigate two different approaches.
Serrano Perdomo, Rafael Antonio   +1 more
core  

Random nonlinear evolution inclusions in reflexive Banach spaces

open access: yes, 1988
In this paper we present two existence results for a large class of random, nonlinear, multivalued evolution equations defined in a reflexive, separable Banach space and involving an m m -dissipative operator.
Papageorgiou, N   +3 more
core   +1 more source

New Generalised Semi‐Analytical Approach for the Multidimensional Nonlinear Collisional Fragmentation Equations

open access: yesInternational Journal for Numerical Methods in Fluids, EarlyView.
This work aims to develop a generalised and efficient semi‐analytical method that combines the Laplace decomposition method with Pade approximation (LDMPA) to solve multidimensional nonlinear integro‐partial differential equation. For a one‐dimension case, explicit (closed‐form) solutions for the number density functions are derived for the first time.
Somveer Keshav   +4 more
wiley   +1 more source

On Approximation-Solvability of Nonlinear Equations in Reflexive Banach Spaces

open access: yesZeitschrift für Analysis und ihre Anwendungen, 1993
We extend the Zarantonello numerical range to the case of reflexive Banach space opera-tors, and study the approximation-solvability of nonlinear equations relating to the results of Zeidler (1990).
Verma, R., Debnath, L.
openaire   +3 more sources

Uniqueness for Neumann Problems for Nonlinear Elliptic Equations With Lower Order Terms

open access: yesMathematische Nachrichten, EarlyView.
ABSTRACT In this paper, we prove uniqueness results for weak solutions to a class of Neumann problems, whose prototype is λ(1+u2)(p−2)/2u−div((1+|∇u|2)(p−2)/2∇u)−div(c(x)(1+|u|2)(τ+1)/2)+b(x)(1+|∇u|2)(σ+1)/2=finΩ(1+|∇u|2)(p−2)/2∇u+c(x)(1+|u|2)(τ+1)/2)·n̲=0on∂Ω,$$\begin{equation*} {\begin{cases} {}\lambda {(1+ u^2)}^{(p-2)/2}u-{\operatorname{div}}({(1+|\
Maria Francesca Betta   +3 more
wiley   +1 more source

Structure and dimension of global branches of solutions to multiparameter nonlinear equations [PDF]

open access: yes, 1985
A general study of the dimension and connectivity properties of branches of solutions of equations depending on n-parameters are studied using the homotopy properties of 0-epi ...
Pejsachowicz, Jacobo   +6 more
core  

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