Results 1 to 10 of about 2,094 (218)

A Geometry of Hamiltonian Mechanics. [PDF]

Entropy (Basel)
Elgressy G, Horwitz L.
europepmc   +1 more source

Regularity and wave study of an advection-diffusion-reaction equation. [PDF]

Sci Rep
Akgül A, Ahmed N, Shahzad M, Baber MZ, Iqbal MS, Chan CK.   +5 more
europepmc   +1 more source

ITERATIVE SOLUTIONS FOR SYSTEMS OF NONLINEAR OPERATOR EQUATIONS IN BANACH SPACE

Acta Mathematica Scientia, 2003
On a real Banach space with a partial ordering induced by a normal cone, the author considers a system of nonlinear equations of the form (1) \(u = A(u,u), u = B(u,u)\) under a particular set of assumptions for the operators \(A\) and \(B\) that do not require them to be mixed monotone or continuous.
exaly   +3 more sources

On the solution of nonlinear equations with monotone opera tors in a Banach space

Siberian Mathematical Journal, 1975
exaly   +2 more sources

Nonlinear volterra integrodifferential equations in a Banach space

Israel Journal of Mathematics, 1982
We study the Cauchy problem associated with the Volterra integrodifferential equation u\left( t \right) \in Au\left( t \right) + \int {_0^1 B\left( {t - s} \right)u\left( s \right)ds + f\left( t \right),} u\left( 0 \right) = u_0 \in D\left( A \right), whereA is anm-dissipative non-linear operator (or more generally, anm-D(ω) operator), defined onD(A ...
Grimmer, Ronald, Zeman, Marvin
openaire   +1 more source

on the solvability of nonlinear equations in Banach spaces

2006
Using a generalization of the Borsuk Ulam theorem to multivalued maps we study the existence of solutions by means of the Lyapunov -Schmidt method even in the case when the auxiliary equation cannot be solved ...
Massabò I., NISTRI, PAOLO, Pejsachowicz J.   +2 more
openaire   +2 more sources

Nonlinear evolution equations in Banach spaces

Israel Journal of Mathematics, 1972
The evolution problem 0∈du/dt+A(t)u(t),u(s)=x, where theA(t) are nonlinear operators acting in a Banach space, is studied. Evolution operators are constructed from theA(t) under various assumptions. Basic properties of these evolution operators are established and their relationship to the evolution equation is determined.
Crandall, M. G., Pazy, A.
openaire   +1 more source

Solvability of nonlinear equations in a cone of a banach space

Journal of Mathematical Sciences, 2000
The author finds a solvability conditions for the equation \(Tu+ F(u)= 0\) in the case where the operator \([T+ F'(u)]^{-1}\) exist only for \(u\in K\), where \(K\) is a cone in a Banach space \(X\). He gives an application concerning the solvability of boundary-value problems for systems of second-order differential equations.
openaire   +2 more sources

Asymptotic Equivalence of Nonlinear Differential Equations in Banach Spaces

SIAM Journal on Mathematical Analysis, 1975
New concepts of asymptotic equivalence of differential equations in Banach spaces are introduced. Our techniques use the comparison theorem and a result on asymptotic equilibrium in Banach spaces. As an application we extend a nonlinear perturbation result of A. G. Kartsatos.
Bernfeld, S. R., Hallam, T. G., Lakshmikantham, V.   +2 more
openaire   +2 more sources