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Ahmed (1991)
Semigroup theory with applications to systems and control New York
Byszewski (1998)
Existence of solutions of a semilinear functional - differential evolution nonlocal problem NonlinearAnal, 13
Fattorini (1985)
Second order linear differential equations in - AmsterdamBanach spaces Holland Mathematics Studies
(1985)
Measure of noncompactness and xed points of nonexpansive condensingmappings in locally convex spaces
L. Olszowy, S. Wȩdrychowicz (2011)
On the existence and asymptotic behaviour of solutions of an evolution equation and an application to the Feynman–Kac theoremNonlinear Analysis-theory Methods & Applications, 74
Byszewski (1993)
Existence and uniqueness of solutions of semilinear evolution nonlocal Cauchy problem Pol Mat, 12
(1995)
A fundamental solution of a second-order di erential equation in a Banach space, Univ. Iagel
L. Olszowy (2013)
Existence of Mild Solutions for Semilinear Nonlocal Cauchy Problems in Separable Banach SpacesZeitschrift Fur Analysis Und Ihre Anwendungen, 32
J. Banaś, M. Mursaleen (2014)
Applications to Integral Equations
J. Banaś (1980)
Measures of Noncompactness in Banach Spaces
ftp ejde.math.txstate.edu (login: ftp) EXISTENCE OF SOLUTIONS FOR SEMILINEAR NONLOCAL CAUCHY PROBLEMS IN BANACH SPACES
R. Akhmerov, M. Kamenskiĭ, A. Potapov, A. Rodkina, B. Sadovskii (1992)
Measures of noncompactness and condensing operatorsOperator theory, 55
L. Byszewski, V. Lakshmikantham (1991)
Theorem about the existence and uniqueness of a solution of a nonlocal abstract Cauchy problem in a Banach spaceApplicable Analysis, 40
M. El-Borai, W. El-Sayed, Noura Khalefa (2017)
Solvability of Some Nonlinear Integral Functional EquationsAmerican Journal of Theoretical and Applied Statistics, 6
Aizicovici (2000)
Existence results for a class of abstract nonlocal Cauchy problems NonlinearAnal, 15
Olszowy (2009)
of some functional integral equationSystem Appl, 26
Bothe (1998)
perturbation of accretive differential inclusionJ Math, 31
C. Batty, R. Chill, S. Srivastava (2008)
Maximal regularity for second order non-autonomous Cauchy problemsStudia Mathematica, 189
D. Bothe (1998)
Multivalued perturbations ofm-accretive differential inclusionsIsrael Journal of Mathematics, 108
Balachandran (1994)
Existence and uniqueness of mild and strong solutions of a semilinear evolution equation with nonlocal condition PureAppl Math, 16
Banach (2005)
Existence of solutions for semilinear nonlocal Cauchy problems in spacesElectron Differential Equations, 21
Banach (2005)
Nonlinear differential equations with nonlocal conditions in spaces NonlinearAnal, 20
Jianhong Wu (1996)
Theory and Applications of Partial Functional Differential Equations
H. Fattorini (1985)
Second order linear di erential equations in Banach spaces North - Holland
M. Benchohra, S. Ntouyas (2000)
Existence of mild solutions on noncompact intervals to second-order initial value problems for a class of differential inclusions with nonlocal conditionsComputers & Mathematics With Applications, 39
M. Benchohra, Noreddine Rezzoug (2016)
Measure of noncompactness and second order evolution equationsGulf Journal of Mathematics
N. Ahmed (1991)
Semigroup Theory With Applications to Systems and Control
Travis (1977)
Second order differential equations in Banach spaces in Nonlinear Equations in Abstract Spaces Internat Texas Arlington TX Academic Press New - YorkProc
Olszowy (2010)
We drychowicz Mild solutions of semilinear evolution equation on an unbounded interval and their applications NonlinearAnal, 29
S. Aizicovici, M. McKibben (2000)
Existence results for a class of abstract nonlocal Cauchy problemsNonlinear Analysis-theory Methods & Applications, 39
F. Faraci, A. Iannizzotto (2006)
A MULTIPLICITY THEOREM FOR A PERTURBED SECOND-ORDER NON-AUTONOMOUS SYSTEMProceedings of the Edinburgh Mathematical Society, 49
Wu (1996)
Theory and application of partial functional differential equations Springer - Verlag New York
Mönch (1980)
value problems for nonlinear ordinary differential equations of second order in spaces NonlinearAnal
L. Olszowy (2008)
On existence of solutions of a quadratic Urysohn integral equation on an unbounded interval, 48
Guo (1996)
Nonlinear integral equations in abstract spaces Kluwer Academic Publishers Group Dordrecht, 25
L. Byszewski (1991)
Theorems about the existence and uniqueness of solutions of a semilinear evolution nonlocal Cauchy problemJournal of Mathematical Analysis and Applications, 162
L. Olszowy (2013)
Existence of mild solutions for the semilinear nonlocal problem in Banach spacesNonlinear Analysis-theory Methods & Applications, 81
Byszewski (1990)
Theorem about the existence and uniqueness of solutions of a nonlocal Cauchy problem in a spaceAppl Anal, 14
(2003)
Fixed point theory, Springer-Verlag
Akhmerov (1992)
Measures of noncompactness and condensing operators Verlag, 22
L. Olszowy, S. Wȩdrychowicz (2010)
Mild solutions of semilinear evolution equation on an unbounded interval and their applicationsNonlinear Analysis-theory Methods & Applications, 72
M. Benchohra, S. Ntouyas (2001)
Nonlocal Cauchy Problems for Neutral Functional Differential and Integrodifferential Inclusions in Banach SpacesJournal of Mathematical Analysis and Applications, 258
Harald Mönch (1980)
Boundary value problems for nonlinear ordinary differential equations of second order in Banach spacesNonlinear Analysis-theory Methods & Applications, 4
D. Guo, V. Lakshmikantham, Xinzhi Liu (1996)
Nonlinear Integral Equations in Abstract Spaces
Banas (1980)
Measures of noncompactness in spaces Lecture Note in Pure New YorkMath, 24
(1995)
Evolution equations of second order with operator dependent on t
Dugundji (2003)
point theory Springer - Verlag New YorkFixed
A. Jerri, M. Nashed (1982)
On general transforms hill functionsApplicable Analysis, 14
H. Henríquez, Verónica Poblete, Juan Pozo (2014)
Mild solutions of non-autonomous second order problems with nonlocal initial conditionsJournal of Mathematical Analysis and Applications, 412
X. Xue (2004)
Nonlinear Differential Equations with Nonlocal Conditions in Banach SpacesMathematics eJournal
Benchohra (2001)
Cauchy problems for neutral functional differential and integrodifferential inclusions in spacesMath Anal Appl, 17
M. Benchohra, S. Abbas (2015)
Advanced Functional Evolution Equations and Inclusions
Olszowy (2011)
We drychowicz On the existence and asymptotic behaviour of solution of an evolution equation and an application to the Feynman theorem NonlinearAnal
L. Byszewski, H. Akça (1998)
Existence of solutions of a semilinear functional-differential evolution nonlocal problemNonlinear Analysis-theory Methods & Applications, 34
Olszowy (2013)
Existence of mild solutions for semilinear nonlocal problem in spaces NonlinearAnal, 28
H. Fattorini (1985)
Second Order Linear Differential Equations in Banach Spaces
Banas (2014)
Sequence spaces and measures of noncompactness with applications to differential and integral equations New Delhi, 30
Kozak (1995)
fundamental solution of a second - order differential equation in a spaceActa Math
AbstractIn this paper, we shall establish sufficient conditions for the existence of solutions for second order semilinear functional evolutions equation with nonlocal conditions in Fréchet spaces. Our approach is based on the concepts of Hausdorff measure, noncompactness and Tikhonoff’s fixed point theorem. We give an example for illustration.
Demonstratio Mathematica – de Gruyter
Published: Dec 20, 2017
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