Implicit Function Theorems, Approximate Solvability of Nonlinear Equations, and Error Estimates

P. S. Milojević

Type: Article

Publication Date: 1997-07-01

Citations: 9

DOI: https://doi.org/10.1006/jmaa.1997.5477

View Publication

Locations

Journal of Mathematical Analysis and Applications - View

Similar Works

Action	Title	Year	Authors
+	An approximate solvability scheme for a class of nonlinear equations	1983	Mohan C. Joshi
+	A local implicit function theorem and application to systems of differential equations	1985	Václav Doležal Shiva Shankar
+	The Implicit Function Theorem and Related Results	2021	Fabio Botelho
+	Approximation solvability of nonlinear equations	1982	J. R. L. Webb
+	Implicit function theorems for generalized equations	1995	Asen L. Dontchev
+	Approximation-Solvability of Nonlinear Functional and Differential Equations.	1995	M. Z. Nashed W. V. Petryshyn
+	Implicit function theorem and its application to a Ulam’s problem for exact differential equations	2010	‎Soon-Mo Jung
+	Solvability and iterative approximations for a functional equation	2012	Zeqing Liu Jingjing Zhu Shin Min Kang Jeong Sheok Ume
+	The implicit function theorem in degenerate problems	1987	А. А. Тretyakov
+	Approximate Methods for the Treatment of Differential Equations	1898	William Frederick Durand
+	Approximate Solution of Nonlinear Differential Equations	1999	Carl M. Bender Steven A. Orszag
+ PDF Chat	The implicit function theorem: history, theory, and applications	2003
+	Implicit Functions and ODEs	2015	S.J. Garrett
+ PDF Chat	A Nash-Moser-type implicit function theorem and nonlinear boundary value problems	1978	Garo K. Kiremidjian
+	The implicit function theorem and analytic differential equations	1975	Kenneth R. Meyer
+	On the approximation-solvability of nonlinear equations	1968	W. V. Petryshyn
+	Exact Methods for Nonlinear Partial Differential Equations	2011
+	APPROXIMATE METHODS OF SOLVING ORDINARY DIFFERENTIAL EQUATIONS	1965	I. S. Berezin N.P. ZHIDKOV
+	Editorial Exact and Approximate Solutions for Nonlinear PDEs	2014	Baojian Hong Dianchen Lu Chaudry Masood Khalique Alvaro H. Salas Robert A. Van Gorder
+	Error bounds for approximate solutions of systems of equations	1984	Tetsuro Yamamoto

Works That Cite This (9)

Action	Title	Year	Authors
+	On the unique constructive solvability of Hammerstein equations	2002	P. S. Milojević
+	Controllability of nonlinear evolution delay integrodifferential systems	2002	K. Balachandran Jerald P. Dauer S. Sangeetha
+ PDF Chat	Implicit Function Theorems for Nondifferentiable Mappings	2006	W. Bian
+ PDF Chat	Invertibility of nonsmooth mappings	2017	Marcelo Montenegro Adilson E. Presoto
+	Existence and the number of solutions of nonresonant semilinear equations and applications to boundary value problems	2000	P. S. Milojević
+	Homeomorphisms and Fredholm Theory for Perturbations of Nonlinear Fredholm Maps of Index Zero and of A-Proper Maps with Applications	2010	P. S. Milojević
+	Criteria for the global invertibility of C1 functions between Banach spaces	2002	Hong‐Xu Li Jin Liang Ti‐Jun Xiao
+	Controllability of Nonlinear Evolution Systems with Preassigned Responses	1999	W. Bian
+	Operator inclusions and operator-differential inclusions	1998	Wenming Bian

Works Cited by This (33)

Action	Title	Year	Authors
+	Nonlinear operators and nonlinear equations of evolution in Banach spaces	1976	Felix E. Browder
+	Theory and applications of nonlinear operators of accretive and monotone type	1996	Athanassios G. Kartsatos
+	A mini max theorem and applications to nonresonance problems for semilinear equations	1986	Stepan Tersian
+ PDF Chat	Fredholm alternatives for nonlinear differential equations	1982	Klaus Schmitt Hal L. Smith
+ PDF Chat	The fixed point index and asymptotic fixed point theorems for $k$-set-contractions	1969	Roger D. Nussbaum
+	Remarks on finding critical points	1991	Haı̈m Brezis Louis Nirenberg
+	A priori error estimates for variational methods in banach spaces	1977	T. O. Shaposhnikova
+	Eigenfunction methods and nonlinear hyperbolic boundary value problems at resonance	1987	Michael W. Smiley
+	Generalized implicit function theorems when the derivative has no bounded inverse	1982	B. D. Craven M. Zuhair Nashed
+	The convergence of the collocation method for non-linear differential equations	1966	Gennadi Vainikko