scholarly journals Extending the applicability of a third-order scheme with Lipschitz and Hölder continuous derivative in Banach spaces

2020 ◽  
Vol 28 (1) ◽  
Author(s):  
Debasis Sharma ◽  
Sanjaya Kumar Parhi
Keyword(s):  
Banach Spaces ◽  
Continuous Derivative ◽  
Third Order ◽  
Hölder Continuous ◽  
Order Scheme

scholarly journals Local convergence of a parameter based iteration with Hölder continuous derivative in Banach spaces

CALCOLO ◽  
2016 ◽  
Vol 54 (2) ◽  
pp. 527-539 ◽  
Author(s):  
Sukhjit Singh ◽  
D. K. Gupta ◽  
Rakesh P. Badoni ◽  
E. Martínez ◽  
José L. Hueso
Keyword(s):  
Banach Spaces ◽  
Local Convergence ◽  
Continuous Derivative ◽  
Hölder Continuous

scholarly journals Nonnegative solutions of two-point boundary value problems for nonlinear second order integrodifferential equations in Banach spaces

1991 ◽  
Vol 4 (1) ◽  
pp. 47-69 ◽  
Author(s):  
Dajun Guo
Keyword(s):  
Fixed Point ◽  
Banach Spaces ◽  
Fixed Point Theory ◽  
Index Theory ◽  
Point Theory ◽  
Second Order ◽  
Integrodifferential Equations ◽  
Third Order ◽  
Nonnegative Solutions ◽  
Fixed Point Index Theory

In this paper, we combine the fixed point theory, fixed point index theory and cone theory to investigate the nonnegative solutions of two-point BVP for nonlinear second order integrodifferential equations in Banach spaces. As application, we get some results for the third order case. Finally, we give several examples for both infinite and finite systems of ordinary nonlinear integrodifferential equations.

scholarly journals Banach spaces of bounded solutions of Δu = Pu (P ≥ 0) on hyperbolic riemann surfaces

1974 ◽  
Vol 53 ◽  
pp. 141-155 ◽  
Author(s):  
Mitsuru Nakai
Keyword(s):  
Banach Space ◽  
Riemann Surface ◽  
Banach Spaces ◽  
Riemann Surfaces ◽  
Space Structure ◽  
Bounded Solutions ◽  
Linear Isometry ◽  
Hölder Continuous ◽  
Hyperbolic Riemann Surfaces ◽  
Hyperbolic Riemann Surface

Consider a nonnegative Hölder continuous 2-form P(z)dxdy on a hyperbolic Riemann surface R (z = x + iy). We denote by PB(R) the Banach space of solutions of the equation Δu = Pu on R with finite supremum norms. We are interested in the question how the Banach space structure of PB(R) depends on P. Precisely we consider two such 2-forms P and Q on R and compare PB(R) and QB(R). If there exists a bijective linear isometry T of PB(R) to QB(R), then we say that PB(R) and QB(R) are isomorphic.

scholarly journals An efficient third-order scheme for BSDEs based on nonequidistant difference scheme

2019 ◽  
Vol 85 (2) ◽  
pp. 467-483
Author(s):  
Chol-Kyu Pak ◽  
Mun-Chol Kim ◽  
Chang-Ho Rim
Keyword(s):  
Difference Scheme ◽  
Third Order ◽  
Order Scheme

scholarly journals Third-order family of methods in Banach spaces

2011 ◽  
Vol 61 (6) ◽  
pp. 1665-1675 ◽  
Author(s):  
Changbum Chun ◽  
Pantelimon Stănică ◽  
Beny Neta
Keyword(s):  
Banach Spaces ◽  
Third Order
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