## Functional Differential Equations

 Short Title: Funct. Differ. Equ. Publisher: Ariel University, Ariel, Israel ISSN: 0793-1786 Online: https://www.ariel.ac.il/wp/fde/all-volumes/http://functionaldifferentialequations.com/index.php/fde/issue/archive Comments: Indexed cover-to-cover; This journal is available open access.
 Documents Indexed: 641 Publications (since 1993) References Indexed: 54 Publications with 999 References.
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### Fields

 366 Ordinary differential equations (34-XX) 114 Partial differential equations (35-XX) 59 Operator theory (47-XX) 52 Systems theory; control (93-XX) 42 Difference and functional equations (39-XX) 41 Calculus of variations and optimal control; optimization (49-XX) 37 Probability theory and stochastic processes (60-XX) 33 Numerical analysis (65-XX) 33 Biology and other natural sciences (92-XX) 32 Integral equations (45-XX) 22 Dynamical systems and ergodic theory (37-XX) 12 Measure and integration (28-XX) 11 History and biography (01-XX) 11 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 9 Functional analysis (46-XX) 8 Real functions (26-XX) 8 General topology (54-XX) 8 Mechanics of particles and systems (70-XX) 8 Statistical mechanics, structure of matter (82-XX) 7 Fluid mechanics (76-XX) 7 Operations research, mathematical programming (90-XX) 6 Functions of a complex variable (30-XX) 6 Potential theory (31-XX) 6 Computer science (68-XX) 5 Statistics (62-XX) 5 Mechanics of deformable solids (74-XX) 5 Information and communication theory, circuits (94-XX) 4 Harmonic analysis on Euclidean spaces (42-XX) 4 Global analysis, analysis on manifolds (58-XX) 3 General and overarching topics; collections (00-XX) 3 Approximations and expansions (41-XX) 3 Optics, electromagnetic theory (78-XX) 3 Quantum theory (81-XX) 3 Geophysics (86-XX) 2 Nonassociative rings and algebras (17-XX) 2 Several complex variables and analytic spaces (32-XX) 2 Differential geometry (53-XX) 2 Relativity and gravitational theory (83-XX) 1 Algebraic geometry (14-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Group theory and generalizations (20-XX) 1 Special functions (33-XX) 1 Integral transforms, operational calculus (44-XX) 1 Algebraic topology (55-XX) 1 Manifolds and cell complexes (57-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Mathematics education (97-XX)

### Citations contained in zbMATH Open

308 Publications have been cited 1,079 times in 950 Documents Cited by Year
Generalized projection operators in Banach spaces: Properties and applications. Zbl 0882.47046
Alber, Ya. I.
1993
Stochastic functional differential equations with Markovian switching. Zbl 1034.60063
Mao, X.
1999
A fixed point theorem in Banach algebras with applications to functional integral equations. Zbl 1040.45003
Dhage, B.; O’Regan, D.
2000
Almost automorphic solutions to semilinear evolution equations. Zbl 1102.34044
Diagana, Toka; N’Guérékata, Gaston M.
2006
Global attractor for strongly damped nonlinear wave equations. Zbl 1027.35018
Zhou, Shengfan
1999
Some optimal conditions for the solvability of two-point singular boundary value problems. Zbl 1062.34017
2003
Solvability and spectral analysis of abstract hyperbolic equations with delay. Zbl 1208.34100
Vlasov, Victor V.; Wu, Jianhong
2009
On an initial boundary value problem in a bounded domain for the generalized Korteweg-de Vries equation. Zbl 1054.35080
Faminskii, A. V.
2001
$$S$$-asymptotically $$\omega$$-periodic solutions of abstract partial neutral integro-differential equations. Zbl 1241.47038
Caicedo, A.; Cuevas, C.
2010
On some developments of the method of integral guiding functions. Zbl 1081.34070
Kornev, S.; Obukhovskii, V.
2005
Matrix Riccati equations and stability of stochastic linear systems with nonincreasing delays. Zbl 1148.93346
Kolmanovskii, V. B.; Shaikhet, L. E.
1997
An oscillation criterion for first order delay dynamic equations. Zbl 1254.34126
Agarwal, Ravi; Bohner, Martin
2009
Asymptotic stability for stochastic differential delay equations with Markovian switching. Zbl 1095.34556
Mao, Xuerong
2002
Some algebras of operators majorized by a convolution. Zbl 1050.47036
Kurbatov, V. G.
2001
Averaging in differential equations with Hukuhara derivative and delay. Zbl 1046.34089
Plotnikov, V. A.; Rashkov, P. I.
2001
Impulsive periodic boundary value problem and topological degree. Zbl 1048.34061
Rachůnková, Irena; Tvrdý, Milan
2002
Second order impulsive dynamic equations on time scales. Zbl 1072.39012
Agarwal, R. P.; Benchohra, M.; O’Regan, D.; Quahab, A.
2004
Asymptotic behavior of solutions and positive solutions of differential delayed equations. Zbl 1129.34050
Diblík, J.; Růžičková, M.
2007
On differentiability of solutions with respect to parameters in a class of functional-differential equations. Zbl 0898.34059
Hartung, Ferenc
1997
Basic results in the theory of hybrid differential equations with mixed perturbations of second type. Zbl 1318.34015
Dhage, B.
2012
The mixed boundary value problem for parabolic differential-difference equation. Zbl 1054.35119
Skubachevskii, A. L.; Shamin, R. V.
2001
Continuous dependence of solutions of generalized linear differential equations on a parameter. Zbl 1181.34011
Halas, Zdeněk; Tvrdý, Milan
2009
Solvability and structural properties of abstract neutral functional differential equations. Zbl 1148.34053
Medvedev, D. A.; Vlasov, V. V.; Wu, J.
2008
On oscillation properties of delay differential equations with oscillating coefficients. Zbl 0860.34036
Domshlak, Yu.
1994
Interval criteria for oscillation of second order half-linear ordinary differential equations. Zbl 1091.34518
Agarwal, R.; Grace, S.
2002
Algorithm for generalized multi-valued co-variational inequalities in Banach spaces. Zbl 1057.47514
Alber, Ya.; Yao, Jen-Chih
2000
Oscillation of second order linear delay differential equations. Zbl 1057.34077
2000
Weak delay in systems with an aftereffect. Zbl 1048.34104
Khusainov, D. Ya.; Benditkis, D. B.; Diblik, J.
2002
On Bohl-Perron type theorems for linear difference equations. Zbl 1060.39002
Berezansky, L.; Braverman, E.
2004
Oscillation properties of discrete difference inequalities and equations: The new approach. Zbl 0858.39008
Domshlak, Yuri
1993
Problems of fixed point theory in Hilbert and Banach spaces. Zbl 0874.47031
Alber, Ya.; Guerre-Delabriere, S.
1994
What should be a discrete version of the Chanturia-Koplatadze lemma? Zbl 1033.39019
Domshlak, Y.
1999
Global attractivity in almost periodic single species models. Zbl 1319.34128
Myslo, Y. M.; Tkachenko, V. I.
2011
Almost periodic solutions of parabolic type equations with impulsive action. Zbl 1318.34083
Tkachenko, V.
2014
Positive periodic solutions of a discrete population model. Zbl 1040.92034
Cheng, S.; Zhang, G.
2000
On eigenvalues and twin positive solutions of $$(n,p)$$ boundary value problems. Zbl 1040.34505
Wong, Patricia J. Y.; Agarwal, Ravi P.
1997
Sharp estimates of solutions to neutral equations in Sobolev spaces. Zbl 1083.34059
Vlasov, Victor V.; Wu, Jianhong
2005
Linear boundary value problems and control problems for a class of functional differential equations with continuous and discrete times. Zbl 1322.34077
2012
A cell growth model revisited. Zbl 1325.35234
Derfel, G.; van Brunt, B.; Wake, G.
2012
Homogenization limit for the boundary value problem with the $$p$$-Laplace operator and a nonlinear third boundary condition on the boundary of the holes in a perforated domain. Zbl 1408.35005
Shaposhnikova, T.; Podolskiy, A.
2012
Exact controllability of an integro-differential equation with deviated argument. Zbl 1326.34118
Muslim, M.; Agarwal, R. P.
2014
Asymptotics of solutions for nonlocal elliptic problems in plane bounded domains. Zbl 1045.35022
Gurevich, P. L.
2003
Exponential stability of convolution integro-differential equations. Zbl 1045.45007
Domoshnitsky, A.
1998
Phase transition dynamics with memory. Zbl 1048.45004
Rotstein, H. G.; Domoshnitsky, A. I.; Nepomnyashchy, A. A.
1998
Conti-Opial type existence and uniqueness theorems for nonlinear singular boundary value problems. Zbl 1048.34108
2002
Asymptotic behavior of solutions of discrete equations. Zbl 1060.39004
Diblík, J.
2004
Equations with distributed delays: bifurcation analysis using computational tools for discrete delay equations. Zbl 1064.34057
Luzyanina, Tatyana; Roose, Dirk
2004
Forced oscillation of $$n$$th-order nonlinear differential equations. Zbl 1060.34019
Sun, Yuan Gong; Agarwal, R. P.
2004
On precision of constants in some theorems on stability of difference equations. Zbl 1153.39003
Malygina, V. V.; Kulikov, A. Y.
2008
Oscillation criteria for higher order “almost linear” functional differential equations. Zbl 1216.34062
2009
Autonomous differential equations with impulsive self-support and infinite delay. Zbl 0866.34052
Myshkis, A.
1995
An “algebraic” reconstruction of piecewise-smooth functions from integral measurements. Zbl 1335.94012
Batenkov, D.; Sarig, N.; Yomdin, Y.
2012
A mathematical model of Imatinib and interferon-Alpha combined treatment of chronic myeloid leukemia. Zbl 1317.92033
Berezansky, L.; Bunimovich-Mendrazitsky, S.; Domoshnitsky, A.
2012
About sign-constancy of Green’s function of one-point problem for impulsive second order delay equations. Zbl 1318.34089
Domoshnitsky, A.; Landsman, G.; Yanetz, S.
2014
On the second order of accuracy difference schemes of the nonlocal boundary value problem for parabolic equations. Zbl 1040.65075
Ashyralyev, A.; Karatay, I.
2003
Hyperbolicity, expansivity and shadowing for the class of normal operators. Zbl 1039.37020
Mazur, Marcin
2000
On the asymptotics of the spectrum of a boundary value problem with nonperiodic rapidly alternating boundary conditions. Zbl 1065.35107
Chechkin, G. A.; Doronina, E. I.
2001
Averaging of trajectory attractors of evolution equations with rapidly oscillating coefficients. Zbl 1046.37046
Chepyzhov, V. V.; Vishik, M. I.
2001
A new approach to impulsive retarded differential equations: stability results. Zbl 1200.34097
Federson, Márcia; Schwabik, Štefan
2009
Popov-type stability criterion for functional-differential equations describing pulse modulated control systems. Zbl 0860.34047
Gelig, A. Kh.; Churilov, A. N.
1993
Generalized multivalued nonlinear co-variational inequalities in Banach spaces. Zbl 1139.49011
Khan, M. F; Salahuddin
2007
Two-point boundary value problems with monotonically boundary conditions for one-dimensional $$\varphi$$-Laplacian equations. Zbl 1084.34017
Lepin, A. Ja.; Lepin, L. A.; Sadyrbaev, F. Zh.
2005
Little vibrations of an abstract mechanical system and corresponding eigenvalue problem. Zbl 1041.34050
Labovskii, S.
1999
Second order accuracy difference scheme for approximate solutions of delay differential equations. Zbl 1031.65088
Ashyralyev, A.; Akça, H.; Guray, U.
1999
Stability and oscillations in pulse-modulated systems: A review of mathematical approaches. Zbl 0906.93002
Gelig, A. Kh.; Churilov, A. N.
1996
Solution stability of the oscillating canonical system with small parameter with application to the $$n$$-body problem. Zbl 0891.34061
Merman, G. A.
1996
Stability and linearization for differential equations with a distributed delay. Zbl 1318.34105
Berezansky, L.; Braverman, E.
2012
On resonant waves in lattices. Zbl 1329.74122
Osharovich, G.; Ayzenberg-Stepanenko, M.
2012
Nonlocal parabolic problems with the support of nonlocal terms inside a domain. Zbl 1050.35124
Shamin, R. V.
2003
Almost periodic solutions and oscillations decay for hyperbolic differential-operator equations. Zbl 1049.35027
Yakubov, Ya.
2003
Chentsov, A. G.
2000
Two-valued measures and zero-dimensional topologies. Zbl 1064.28003
Chentsov, A. G.
2002
A lattice fixed point theorem and multivalued differential equations. Zbl 1095.34510
Dhage, B.; O’Regan, D.
2002
On the solvability of linear boundary value problems for systems of generalized ordinary differential equations. Zbl 1050.34007
Ashordia, M.
2000
On the stability of nonautonomous equations with delay via limiting equations. Zbl 1050.34521
Andreev, A. S.; Sedova, N. O.
1998
Universal properties of generalized integral constraints in the class of finitely additive measures. Zbl 1076.49508
Chentsov, A. G.
1998
Solvability of the boundary value problem for some differential-difference equations. Zbl 1138.34332
Gurevich, P. L.
1998
Razumikhin-type theorems for neutral stochastic functional differential equations. Zbl 1050.34526
Mao, X.; Rodkina, A.; Koroleva, N.
1998
On the boundary value problem for the elliptic functional-differential equation with contractions. Zbl 1054.35117
Rossovskii, L. E.
2001
On the two new approaches for construction of the high order of accuracy difference schemes for the second order differential equations. Zbl 1053.65054
Ashyralyev, A.; Sobolevskii, P. E.
2003
Linear and nonlinear abstract Volterra equations. Zbl 1046.45008
Väth, M.
1998
The $$W$$-transform links delay and ordinary differential equations. Zbl 1048.34121
Ponosov, Arcady; Shindiapin, Andrei; Miguel, Jose Joao
2002
Subexponential solutions of scalar linear integro-differential equations with delay. Zbl 1063.45005
Appleby, J. A. D.; Győri, I.; Reynolds, D. W.
2004
On nonnegative solutions of a periodic type boundary value problem for first-order scalar functional differential equations. Zbl 1078.34045
Hakl, R.; Lomtatidze, A.; Šremr, J.
2004
Exponential asymptotic stability of nonlinear Itô-Volterra equations with damped stochastic perturbations. Zbl 1078.60052
Appleby, J. A. D.
2005
Asymptotic stability of polynomial stochastic delay differential equations with damped perturbations. Zbl 1090.34065
Appleby, J.; Rodkina, A.
2005
Observability criteria of linear discrete-continuous system. Zbl 1172.93010
Agranovich, Grigory
2009
On asymptotical behavior of solutions to a quasi-linear second order differential equation. Zbl 1179.34051
Astashova, I. V.
2009
The Neumann problem for the second order nonlinear ordinary differential equations at resonance. Zbl 1189.34041
2009
Viability sets of systems with aftereffect. Zbl 1149.34340
Baranov, V. N.
2008
New concept in the study of differential inequalities. Zbl 0860.34031
Domoshnitsky, Alexander
1993
On convergence of sequences of internal superposition operators. Zbl 0865.47021
Drakhlin, Michael E.
1993
On stability of impulsive differential equations with delay. Zbl 0860.34041
Berezansky, L.; Braverman, E.
1994
Morse theory for functions of two variables without critical points. Zbl 0860.34023
Burman, Yu.
1995
Sturmian theorems for a partial difference equation. Zbl 0859.39003
Domshlak, Yu.; Cheng, Sui Sun
1995
Oscillation and asymptotic behaviour of solutions of second order homogeneous neutral differential equations with positive and negative coefficents. Zbl 1139.34314
2007
On boundary value problems connected with variational problems for nonlocal functionals. Zbl 1086.34057
Kamenskii, G.
2005
Analytic continuation of Cauchy-type integrals. Zbl 1072.30029
Roytvarf, N.; Yomdin, Y.
2005
Infinitesimal center-focus problem, generalized moments and composition of polynomials. Zbl 1043.34025
Briskin, M.
1999
On the resolvent kernel of Volterra discrete equations. Zbl 1031.39001
Vecchio, Antonia
1999
On stability of the second order delay differential equation: three methods. Zbl 1482.34168
Berezansky, Leonid
2021
On sufficient conditions of exponential stability for systems of linear autonomous differential equations with aftereffect. Zbl 1472.34122
Sabatulina, T.
2021
Third-order nonlinear differential equations with nonlinear neutral terms. Zbl 1472.34128
Chatzarakis, G.; Grace, S.
2020
Delay optimization problem for one class of controlled functional differential equation. Zbl 07346288
2019
Stability of solutions to systems of differential equations with distributed delay. Zbl 1467.34063
Yskak, Timur Kaĭratuly
2018
Nonlinear difference equations with properties A and B. Zbl 1464.39009
2018
On positivity of Green’s functions of two-point impulsive problems. Zbl 1467.34061
Mizgireva, Iu.
2018
Oscillation results of fourth order non-linear neutral differential equations with quasi-derivatives. Zbl 1474.34453
Panigrahi, S.; Basu, R.
2017
Oscillation propertiess of a class of second order impulsive differential systems of neutral type. Zbl 1358.34076
Tripathy, A.; Santra, S.
2016
On asymptotic behavior of solutions to the second-order Emden-Fowler type differential equations with unbounded negative potential. Zbl 1357.34029
Dulina, K. M.
2016
On a model of maintaining the optimal temperature in greenhouse. Zbl 1474.35609
Astashova, Irina Viktorovna; Filinovskiĭ, Alexeĭ Vladislavovich; Lashin, D. A.
2016
Oscillation of nonlinear fourth order mixeed neutral dynamic equations. Zbl 1358.34102
Tripathy, A.; Panigrahi, S.; Reddy, P. Rami
2015
Almost periodic solutions of parabolic type equations with impulsive action. Zbl 1318.34083
Tkachenko, V.
2014
Exact controllability of an integro-differential equation with deviated argument. Zbl 1326.34118
Muslim, M.; Agarwal, R. P.
2014
About sign-constancy of Green’s function of one-point problem for impulsive second order delay equations. Zbl 1318.34089
Domoshnitsky, A.; Landsman, G.; Yanetz, S.
2014
Generalized and classical solutions to the second and third boundary value problem for difference-differential equations. Zbl 1418.34130
Neverova, D.
2014
Optimal control with bilinear inequality constraints. Zbl 1317.49027
Halperin, I.; Agranovich, G.
2014
Differential and integral equations in algebra. Zbl 1346.34018
Krasnov, Y.; Messika, I.
2014
Oscillation theorems for second-order nonlinear neutral differential equations of mixed type. Zbl 1318.34097
Thandapani, E.; Rema, R.
2014
Oscillation of a class of fourth order functional dynamic equations. Zbl 1318.34122
Tripathy, A.; Panigrahi, S.; Reddy, P.
2014
On the Peano theorem for some functional differential equation on time scale. Zbl 1320.34123
Augustynowicz, A.; Goaszewska, A.
2014
Periodic solutions of Nicholson-type delay differential systems. Zbl 1342.34093
Troib, L.
2014
On spectral problem and positive solutions of a linear singular functional differential equation. Zbl 1318.34088
Labovskiy, S.
2013
About Green’s functions for impulsive differential equations. Zbl 1318.34090
Domoshnitsky, A.; Volinsky, I.; Shklyar, R.
2013
Ultrafilters and attraction sets (generalized and approximate solutions). Zbl 1317.28002
Chentsov, A. G.
2013
Newton’s method for parabolic stochastic functional partial differential equations. Zbl 1326.60098
Wrzosek, M.
2013
Time evolution of spin exchange with a time delay. Zbl 1320.82070
Gamliel, D.; Domoshnitsky, A.; Shklyar, R.
2013
Stability of the method of lines for the McKendrick-von Foerster equation. Zbl 1317.65186
Leszczyński, H.; Zwierkowski, P.
2013
Finitely additive measures in extension constructions of some game problems. Zbl 1367.49030
Chentsov, A.; Shapar, J.
2013
Cumulative distribution function of Markov order 2 geometric distribution of order $$k$$. Zbl 1330.60087
Shmerling, E.
2013
Application of the averaging method to some optimal control problems. Zbl 1317.49029
Mogilova, V.; Stanzhytskyi, O.; Tkachuk, A.
2013
Basic results in the theory of hybrid differential equations with mixed perturbations of second type. Zbl 1318.34015
Dhage, B.
2012
Linear boundary value problems and control problems for a class of functional differential equations with continuous and discrete times. Zbl 1322.34077
2012
A cell growth model revisited. Zbl 1325.35234
Derfel, G.; van Brunt, B.; Wake, G.
2012
Homogenization limit for the boundary value problem with the $$p$$-Laplace operator and a nonlinear third boundary condition on the boundary of the holes in a perforated domain. Zbl 1408.35005
Shaposhnikova, T.; Podolskiy, A.
2012
An “algebraic” reconstruction of piecewise-smooth functions from integral measurements. Zbl 1335.94012
Batenkov, D.; Sarig, N.; Yomdin, Y.
2012
A mathematical model of Imatinib and interferon-Alpha combined treatment of chronic myeloid leukemia. Zbl 1317.92033
Berezansky, L.; Bunimovich-Mendrazitsky, S.; Domoshnitsky, A.
2012
Stability and linearization for differential equations with a distributed delay. Zbl 1318.34105
Berezansky, L.; Braverman, E.
2012
On resonant waves in lattices. Zbl 1329.74122
Osharovich, G.; Ayzenberg-Stepanenko, M.
2012
Oscillation theorems for odd-order neutral differential equations. Zbl 1318.34094
Li, Tongxing; Thandapani, Ethiraju
2012
Correct solvability of integro-differential equations in classes of generalized solutions. Zbl 1318.34108
Karazeeva, N.
2012
Correct solvability of integro-differential equations arising in the theory of heat transfer and acoustics. Zbl 1320.34108
Vlasov, V.; Rautian, N.
2012
$$AP_R$$-almost periodic solutions to functional differential equations with deviated argument. Zbl 1318.45002
Corduneanu, C.
2012
Existence of infinite periodic solutions for a class of first-order delay differential equations. Zbl 1318.34098
Guo, Chengjun; O&rsquo;Regan, Donal; Xu, Yuantong; Agarwal, Ravi P.
2012
Oscillation results for fourth order non-linear mixed neutral differential equations with quasi-derivatives. Zbl 1318.34095
Panigrahi, S.; Basu, R.
2012
On the smooth parameter-dependence of the resolvent function of abstract functional differential equations with unbounded state-dependent delay. Zbl 1319.34118
Slezák, B.
2012
Global attractivity in almost periodic single species models. Zbl 1319.34128
Myslo, Y. M.; Tkachenko, V. I.
2011
On solvability of some classes of Sobolev type equations with delay. Zbl 1319.34132
Fedorov, V. E.; Omelchenko, E. A.
2011
Observer for discrete-continuous LTI systems with continuous-time measurements. Zbl 1234.93025
Agranovich, Grigory
2011
Sturm comparison theorem in singular situations. Zbl 1320.34051
Aharonov, A.; Elias, U.
2011
Properties of solutions of systems of difference equations with neutral term. Zbl 1318.39005
Schmeidel, Ewa L.
2011
On tracking trajectory and control of a linear hereditary system. Zbl 1247.34126
Akca, H.; Berezansky, L.; Maksimov, V.
2011
Uniform estimates for solutions to the third order Emden-Fowler type autonomous differential equation. Zbl 1236.34041
Astashova, I. V.
2011
On the solvability of linear boundary value problems for functional differential equations with intermediate derivatives. Zbl 1279.34077
Bravyi, E.
2011
$$S$$-asymptotically $$\omega$$-periodic solutions of abstract partial neutral integro-differential equations. Zbl 1241.47038
Caicedo, A.; Cuevas, C.
2010
Oscillation criteria for second order nonlinear differential equations with damping and mixed nonlinearities. Zbl 1235.34106
Thandapani, E.; Murugadass, S.; Pinelas, S.
2010
Oscillation results for second order nonlinear neutral delay dynamic equations. Zbl 1235.34248
Tripathy, A. K.; Gnana Bhaskar, T.
2010
Oscillation of a forced second order differential equation with a deviating argument. Zbl 1234.34043
Kong, Qingkai; Wong, James S. W.
2010
On the smooth parameter-dependence of the solutions of abstract functional differential equations with state-dependent delay. Zbl 1242.34137
Slezák, Bernát
2010
On the numerical solution of delay differential equations using multiquadric approximation scheme. Zbl 1226.65061
Vanani, S. Karimi; Aminataei, A.
2010
An optimal control problem for Sobolev retarded systems. Zbl 1228.49009
Vlasenko, L. A.
2010
Functional differential equations on periodic time scales with application to population models. Zbl 1230.34082
Hoffacker, J.; Raffoul, Y.
2010
On the stability of solutions of non-autonomous differential equations of fourth order with delay. Zbl 1229.34116
Tunç, Cemil
2010
Asymptotic stable and bounded solutions of a kind of nonlinear differential equations with variable delay. Zbl 1235.34186
Tunç, Cemil
2010
On the oscillatory and asymptotic behavior of certain fourth order difference equations. Zbl 1229.39020
Grace, Said R.; Agarwal, Ravi P.; Pinelas, Sandra
2010
On global bifurcation of periodic solutions for functional differential inclusions. Zbl 1232.34098
Nguyen Van Loi; Obukhovskii, Valeri
2010
Solvability and spectral analysis of abstract hyperbolic equations with delay. Zbl 1208.34100
Vlasov, Victor V.; Wu, Jianhong
2009
An oscillation criterion for first order delay dynamic equations. Zbl 1254.34126
Agarwal, Ravi; Bohner, Martin
2009
Continuous dependence of solutions of generalized linear differential equations on a parameter. Zbl 1181.34011
Halas, Zdeněk; Tvrdý, Milan
2009
Oscillation criteria for higher order “almost linear” functional differential equations. Zbl 1216.34062
2009
A new approach to impulsive retarded differential equations: stability results. Zbl 1200.34097
Federson, Márcia; Schwabik, Štefan
2009
Observability criteria of linear discrete-continuous system. Zbl 1172.93010
Agranovich, Grigory
2009
On asymptotical behavior of solutions to a quasi-linear second order differential equation. Zbl 1179.34051
Astashova, I. V.
2009
The Neumann problem for the second order nonlinear ordinary differential equations at resonance. Zbl 1189.34041
2009
On the solvability of the Neumann problem for second order linear functional differential equations. Zbl 1190.34074
Bravyi, E.
2009
Existence, uniqueness and convergence of approximate solutions of impulsive neutral differential equations. Zbl 1242.34135
Muslim, M.; Agarwal, Ravi P.; Nandakumaran, A. K.
2009
On boundary homogenization of variational inequalities. Zbl 1196.35042
Shaposhnikova, T. A.; Zubova, M. N.
2009
Small vibrations of mechanical system. Zbl 1375.70068
Labovskiy, S.
2009
New nonlinear integral inequalities with application. Zbl 1179.26053
Agarwal, Ravi; Kim, Y.-H.; Sen, S. K.
2009
Global exponential periodicity for the discrete analogue of an impulsive Hopfield neural network with finite distributed delays. Zbl 1188.39002
Akça, H.; Covachev, V.; Covacheva, Z.; Mohamad, S.
2009
Extensions of abstract analogs of unstable control problems. Zbl 1172.49017
Chentsov, A. G.; Tarasova, S. I.
2009
Neutral functional equations of the second order. Zbl 1190.34101
Corduneanu, Constantin; Mahdavi, Mehran
2009
On the asymptotic behavior of solutions of nonlinear second-order elliptic equations. Zbl 1177.35085
Kondratiev, V. A.
2009
Peakons, cuspons, compactons, solitons, kinks and periodic solutions of several third order nonlinear PDE and their cellular neural network realization. Zbl 1196.35187
Popivanov, P.; Slavova, A.
2009
Theory of log-linear systems of differential equations in Möbius space: application to innovation diffusion theory. (Theory of log-linear systems of differential equations in Moebius space: application to innovation diffusion theory.) Zbl 1215.34058
Sonis, M.
2009
Some sharp estimates for the gradient of bounded or semibounded harmonic functions. Zbl 1193.31004
Kresin, Gershon
2009
On the property of controllability with respect to a family of linear functionals. Zbl 1200.34093
Maksimov, V. P.
2009
On an analogy between the classifications of functional differential equations and partial differential equations. Zbl 1200.34071
Myshkis, A. D.; Vlasov, V. V.
2009
Solvability and structural properties of abstract neutral functional differential equations. Zbl 1148.34053
Medvedev, D. A.; Vlasov, V. V.; Wu, J.
2008
On precision of constants in some theorems on stability of difference equations. Zbl 1153.39003
Malygina, V. V.; Kulikov, A. Y.
2008
Viability sets of systems with aftereffect. Zbl 1149.34340
Baranov, V. N.
2008
On the positiveness of the Cauchy function of integro-differential equations with bounded aftereffect. Zbl 1148.34052
Sabatulina, T. L.
2008
On the solvability of the Cauchy problem for a first order linear functional differential equation. Zbl 1149.34038
Bravyi, E.
2008
Stable and unstable sets in problems of conflict control. Zbl 1151.91362
Ushakov, V. N.; Brykalov, S. A.; Latushkin, Y. A.
2008
First order functional differential equations: nonoscillation and positivity of Green’s functions. Zbl 1156.34049
Berezansky, L.; Braverman, E.; Domoshnitsky, A.
2008
Impulsive equations: overview and open problems. Zbl 1161.34054
Berezansky, L.; Braverman, E.
2008
Asymptotic behavior of solutions and positive solutions of differential delayed equations. Zbl 1129.34050
Diblík, J.; Růžičková, M.
2007
Generalized multivalued nonlinear co-variational inequalities in Banach spaces. Zbl 1139.49011
Khan, M. F; Salahuddin
2007
Oscillation and asymptotic behaviour of solutions of second order homogeneous neutral differential equations with positive and negative coefficents. Zbl 1139.34314
2007
Carathéodory solutions to quasi-linear hyperbolic systems of partial differential equations with state dependent delays. Zbl 1135.35087
Gołaszewska, A.; Turo, J.
2007
...and 208 more Documents
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### Cited by 1,115 Authors

 27 Diblík, Josef 23 Agarwal, Ravi P. 20 Domoshnitsky, Alexander I. 17 Vlasov, Viktor Valentinovich 16 Ashyralyev, Allaberen 16 Berezansky, Leonid M. 15 Braverman, Elena 13 Chentsov, Aleksandr Georgievich 11 Rautian, Nadegda Aleksandrovna 11 Shaposhnikova, Tatiana A. 10 Cuevas, Claudio 9 Appleby, John A. D. 9 Skubachevskiĭ, Aleksandr Leonidovich 9 Tkachenko, Victor Ivanovich 8 Bounkhel, Messaoud 8 Dhage, Bapurao C. 8 Karpuz, Başak 8 Koplatadze, R. G. 8 Maksimov, Vladimir Petrovich 8 Obukhovskiĭ, Valeriĭ Vladimirovich 8 Yao, Jen-Chih 7 Grace, Said Rezk 7 Hartung, Ferenc 7 Kiguradze, Ivan Tarielovich 7 Kornev, Sergeĭ Viktorovich 7 O’Regan, Donal 7 Podolskii, Alexander V. 7 Sunthrayuth, Pongsakorn 6 Alber, Yakov I. 6 Ardjouni, Abdelouaheb 6 Chang, Yong-Kui 6 Huang, Nan-Jing 6 Lizama, Carlos 6 Luo, Jiaowan 6 Mao, Xuerong 6 Shaikhet, Leonid Efimovich 6 Šmarda, Zdeněk 6 Stavroulakis, Ioannis P. 6 Wong, Patricia J. Y. 6 Zhao, Zhihan 6 Zhou, Shengfan 5 Ağirseven, Deniz 5 Ahmad, Rais 5 Ashordia, Malkhaz 5 Astashova, Irina Viktorovna 5 Baštinec, Jaromír 5 Bohner, Martin J. 5 Djoudi, Ahcene 5 Federson, Márcia 5 Kúdelčíková, Mária 5 Kumam, Poom 5 Li, Tongxing 5 N’Guérékata, Gaston Mandata 5 Rachůnková, Irena 5 Šremr, Jiří 5 Svoboda, Zdeněk 5 Yin, George Gang 5 Yomdin, Yosef 4 Bunimovich-Mendrazitsky, Svetlana 4 Cabada, Alberto 4 Cao, Jinde 4 Chidume, Charles Ejike 4 Cholamjiak, Prasit 4 Corduneanu, Constantin 4 Dvornyk, A. V. 4 Gómez, Delfina 4 Graef, John R. 4 Kudryavtseva, Elena A. 4 Li, Jinlu 4 Li, Xi 4 Malinowski, Marek T. 4 Nguyen Van Loi 4 Ocalan, Ozkan 4 Pandey, Dwijendra Narain 4 Partsvania, Nino 4 Ponosov, Arkadiĭ Vladimirovich 4 Qin, Xiaolong 4 Rossovskiĭ, Leonid Efimovich 4 Saewan, Siwaporn 4 Satco, Bianca-Renata 4 Shamaev, Alexei S. 4 Shklyar, Roman B. 4 Stepanov, Eugene 4 Tachim Medjo, Theodore 4 Tomeček, Jan 4 Wu, Fuke 4 Yan, Jurang 4 Zegeye, Habtu 4 Zhou, Yong 3 Agranovich, Grigory 3 Bachar, Mostafa 3 Baranovska, Lesia V. 3 Barkalov, Alexander A. 3 Basu, Rakhee 3 Bounekhel, Djalel 3 Chatzarakis, George E. 3 Chechkin, Gregory Aleksandrovich 3 Churilov, Alexander N. 3 Deng, Ruliang 3 Diaz Diaz, Jesus Ildefonso ...and 1,015 more Authors
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### Cited in 221 Journals

 54 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 53 Journal of Mathematical Analysis and Applications 48 Journal of Mathematical Sciences (New York) 42 Applied Mathematics and Computation 41 Advances in Difference Equations 30 Abstract and Applied Analysis 29 Differential Equations 26 Computers & Mathematics with Applications 24 Applied Mathematics Letters 21 Russian Mathematics 19 Mathematical and Computer Modelling 16 Functional Differential Equations 15 Journal of Differential Equations 12 Mathematical Notes 12 Journal of Computational and Applied Mathematics 12 Boundary Value Problems 10 Automation and Remote Control 8 Journal of Integral Equations and Applications 8 Journal of Dynamics and Differential Equations 7 Journal of the Franklin Institute 7 Automatica 7 Journal of Optimization Theory and Applications 7 Journal of Inequalities and Applications 7 Discrete Dynamics in Nature and Society 7 Discrete and Continuous Dynamical Systems. Series B 7 Fixed Point Theory and Applications 6 Mathematical Methods in the Applied Sciences 6 Ukrainian Mathematical Journal 6 Georgian Mathematical Journal 6 Communications in Nonlinear Science and Numerical Simulation 6 Proceedings of the Steklov Institute of Mathematics 6 Nonlinear Oscillations 5 Applicable Analysis 5 Zeitschrift für Analysis und ihre Anwendungen 5 Discrete and Continuous Dynamical Systems 5 Mathematical Problems in Engineering 5 Doklady Mathematics 5 Differential Equations and Dynamical Systems 5 Lobachevskii Journal of Mathematics 5 Nonlinear Analysis. Real World Applications 5 Transactions of A. Razmadze Mathematical Institute 4 Journal of Applied Mathematics and Mechanics 4 Chaos, Solitons and Fractals 4 Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica 4 Numerical Functional Analysis and Optimization 4 Transactions of the Moscow Mathematical Society 4 Physica D 4 Journal of Global Optimization 4 Cybernetics and Systems Analysis 4 Journal of Difference Equations and Applications 4 Acta Mathematica Sinica. English Series 4 Qualitative Theory of Dynamical Systems 4 Dynamics of Continuous, Discrete & Impulsive Systems. Series A. Mathematical Analysis 4 Journal of Applied Mathematics 4 Journal of Applied Mathematics and Computing 4 Nonlinear Analysis. Hybrid Systems 4 International Journal of Differential Equations 4 Set-Valued and Variational Analysis 4 Journal of Applied Analysis and Computation 4 Journal of Function Spaces 3 Prikladnaya Matematika i Mekhanika 3 Annali di Matematica Pura ed Applicata. Serie Quarta 3 International Journal of Mathematics and Mathematical Sciences 3 Journal of Approximation Theory 3 Journal of Functional Analysis 3 Proceedings of the American Mathematical Society 3 SIAM Journal on Control and Optimization 3 Computational and Applied Mathematics 3 Vietnam Journal of Mathematics 3 Portugaliae Mathematica. Nova Série 3 Mediterranean Journal of Mathematics 3 African Diaspora Journal of Mathematics 3 Journal of Fixed Point Theory and Applications 3 Discrete and Continuous Dynamical Systems. Series S 3 Ufimskiĭ Matematicheskiĭ Zhurnal 3 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 3 Vestnik Udmurtskogo Universiteta. Matematika. Mekhanika. Komp’yuternye Nauki 3 Journal of Mathematics 3 Nonlinear Analysis. Theory, Methods & Applications 3 AIMS Mathematics 2 Israel Journal of Mathematics 2 Journal of Mathematical Biology 2 Moscow University Mathematics Bulletin 2 Applied Mathematics and Optimization 2 Czechoslovak Mathematical Journal 2 Information Sciences 2 Integral Equations and Operator Theory 2 Rendiconti del Circolo Matemàtico di Palermo. Serie II 2 Transactions of the American Mathematical Society 2 Stochastic Analysis and Applications 2 Acta Mathematica Hungarica 2 Applied Numerical Mathematics 2 Acta Mathematicae Applicatae Sinica. English Series 2 Optimization 2 Journal of Applied Mathematics and Stochastic Analysis 2 Applications of Mathematics 2 Stochastic Processes and their Applications 2 International Journal of Robust and Nonlinear Control 2 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 2 Russian Journal of Mathematical Physics ...and 121 more Journals
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### Cited in 48 Fields

 474 Ordinary differential equations (34-XX) 194 Operator theory (47-XX) 161 Partial differential equations (35-XX) 97 Systems theory; control (93-XX) 84 Difference and functional equations (39-XX) 74 Calculus of variations and optimal control; optimization (49-XX) 70 Integral equations (45-XX) 67 Probability theory and stochastic processes (60-XX) 65 Numerical analysis (65-XX) 36 Dynamical systems and ergodic theory (37-XX) 32 Biology and other natural sciences (92-XX) 17 Functional analysis (46-XX) 15 Real functions (26-XX) 12 Harmonic analysis on Euclidean spaces (42-XX) 12 Operations research, mathematical programming (90-XX) 11 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 10 Fluid mechanics (76-XX) 9 Measure and integration (28-XX) 9 Abstract harmonic analysis (43-XX) 9 Global analysis, analysis on manifolds (58-XX) 9 Mechanics of particles and systems (70-XX) 9 Mechanics of deformable solids (74-XX) 9 Information and communication theory, circuits (94-XX) 8 General topology (54-XX) 7 Statistical mechanics, structure of matter (82-XX) 6 General and overarching topics; collections (00-XX) 6 Computer science (68-XX) 5 Integral transforms, operational calculus (44-XX) 5 Geophysics (86-XX) 4 History and biography (01-XX) 4 Functions of a complex variable (30-XX) 4 Approximations and expansions (41-XX) 4 Manifolds and cell complexes (57-XX) 3 Several complex variables and analytic spaces (32-XX) 3 Quantum theory (81-XX) 2 Combinatorics (05-XX) 2 Number theory (11-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Nonassociative rings and algebras (17-XX) 1 Field theory and polynomials (12-XX) 1 Associative rings and algebras (16-XX) 1 Topological groups, Lie groups (22-XX) 1 Potential theory (31-XX) 1 Special functions (33-XX) 1 Sequences, series, summability (40-XX) 1 Algebraic topology (55-XX) 1 Statistics (62-XX) 1 Optics, electromagnetic theory (78-XX)