Afoukal, Abdallah; Ezzinbi, Khalil Bohr-Neugebauer type result for a class of nondensely nonautonomous linear partial functional differential equations with infinite delay. (English) Zbl 07971676 Differ. Equ. Dyn. Syst. 33, No. 1, 227-259 (2025). MSC: 34-XX 35-XX × Cite Format Result Cite Review PDF Full Text: DOI
Afoukal, Abdallah; Ezzinbi, Khalil; Hilal, Khalid Almost periodic and almost automorphic solutions for some nondensely nonautonomous linear periodic partial functional differential equations. (English) Zbl 07948864 S\(\vec{\text{e}}\)MA J. 81, No. 3, 379-412 (2024). MSC: 35B15 35R10 34K30 34K14 39A06 39A24 × Cite Format Result Cite Review PDF Full Text: DOI
Dragičević, Davor; Pituk, Mihály Hyers-Ulam stability of integral equations with infinite delay. (English) Zbl 07921898 Aequationes Math. 98, No. 5, 1265-1280 (2024). Reviewer: Narahari Parhi (Bhubaneswar) MSC: 45M10 45A05 47N20 × Cite Format Result Cite Review PDF Full Text: DOI
Barreira, Luís; Valls, Claudia Induced delay equations. (English) Zbl 1536.34059 J. Differ. Equations 391, 396-484 (2024). MSC: 34K05 34K08 34K27 37C60 34K17 × Cite Format Result Cite Review PDF Full Text: DOI
Zarei, H.; Khastan, A.; Rodríguez-López, R. Suboptimal control of linear fuzzy systems. (English) Zbl 1522.34017 Fuzzy Sets Syst. 453, 130-163 (2023). MSC: 34A07 34A30 49K15 × Cite Format Result Cite Review PDF Full Text: DOI
Nishiguchi, Junya Mild solutions, variation of constants formula, and linearized stability for delay differential equations. (English) Zbl 1538.34247 Electron. J. Qual. Theory Differ. Equ. 2023, Paper No. 32, 77 p. (2023). MSC: 34K05 34K20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Yang, Hongli; Zeng, Xianyang; Wu, Xinyuan An approach to solving Maxwell’s equations in time domain. (English) Zbl 07601354 J. Math. Anal. Appl. 518, No. 1, Article ID 126678, 30 p. (2023). MSC: 65Mxx 65Pxx × Cite Format Result Cite Review PDF Full Text: DOI
Hu, Xianfa; You, Xiong; Fang, Yonglei A novel class of explicit two-step Birkhoff-Hermite integrators for highly oscillatory second-order differential equations. (English) Zbl 1513.65218 Int. J. Comput. Math. 99, No. 9, 1803-1822 (2022). MSC: 65L05 65L06 65L20 × Cite Format Result Cite Review PDF Full Text: DOI
Appleby, John A. D. Mean square characterisation of a stochastic Volterra integrodifferential equation with delay. (English) Zbl 1482.34194 Int. J. Dyn. Syst. Differ. Equ. 11, No. 3-4, 194-226 (2021). MSC: 34K50 45R05 45M05 × Cite Format Result Cite Review PDF Full Text: DOI
Győri, István; Horváth, László Explicit estimates and limit formulae for the solutions of linear delay functional differential systems with nonnegative Volterra type operators. (English) Zbl 1474.34425 Appl. Math. Comput. 385, Article ID 125451, 22 p. (2020). MSC: 34K06 34K25 × Cite Format Result Cite Review PDF Full Text: DOI
Liu, Kai; Yang, Jie; Shi, Wei A new SOR-type iteration method for solving linear systems. (English) Zbl 1440.65117 Appl. Math. Lett. 102, Article ID 106104, 8 p. (2020). MSC: 65M22 65F10 65F35 65L12 × Cite Format Result Cite Review PDF Full Text: DOI
Ezzinbi, Khalil A survey on new methods for partial functional differential equations and applications. (English) Zbl 1463.35486 Afr. Mat. 31, No. 1, 89-113 (2020). MSC: 35R10 47A10 47D06 × Cite Format Result Cite Review PDF Full Text: DOI
Győri, István; Horváth, László On the fundamental solution and its application in a large class of differential systems determined by Volterra type operators with delay. (English) Zbl 1455.34067 Discrete Contin. Dyn. Syst. 40, No. 3, 1665-1702 (2020). Reviewer: Jiří Šremr (Brno) MSC: 34K06 45D05 × Cite Format Result Cite Review PDF Full Text: DOI
Vrabel, Robert Eigenvalue based approach for assessment of global robustness of nonlinear dynamical systems. (English) Zbl 1425.93116 Symmetry 11, No. 4, Paper No. 569, 10 p. (2019). MSC: 93C10 93B35 37M05 × Cite Format Result Cite Review PDF Full Text: DOI
Wang, Bin; Wu, Xinyuan A symplectic approximation with nonlinear stability and convergence analysis for efficiently solving semi-linear Klein-Gordon equations. (English) Zbl 1439.35417 Appl. Numer. Math. 142, 64-89 (2019). Reviewer: Jinliang Yan (Wuyishan) MSC: 35Q41 65L20 65M12 65P10 35B35 65L06 × Cite Format Result Cite Review PDF Full Text: DOI
Church, Kevin E. M.; Liu, Xinzhi Smooth centre manifolds for impulsive delay differential equations. (English) Zbl 1503.34125 J. Differ. Equations 265, No. 4, 1696-1759 (2018). MSC: 34K19 34K25 34K45 × Cite Format Result Cite Review PDF Full Text: DOI
Collegari, Rodolfo; Federson, Márcia; Frasson, Miguel Linear FDEs in the frame of generalized ODEs: variation-of-constants formula. (English) Zbl 1488.34354 Czech. Math. J. 68, No. 4, 889-920 (2018). MSC: 34K06 34A06 34K45 34K40 × Cite Format Result Cite Review PDF Full Text: DOI
Alia, Mohamed; Ezzinbi, Khalil; Kpoumiè, Moussa El-Khalil Mild solutions for some nonautonomous partial functional differential equations with infinite delay. (English) Zbl 1413.35279 Afr. Mat. 29, No. 7-8, 1115-1133 (2018). MSC: 35K99 × Cite Format Result Cite Review PDF Full Text: DOI
Kpoumiè, Moussa El-Khalil; Ezzinbi, Khalil; Békollè, David Periodic solutions for some nondensely nonautonomous partial functional differential equations in fading memory spaces. (English) Zbl 1383.35012 Differ. Equ. Dyn. Syst. 26, No. 1-3, 177-197 (2018). MSC: 35B10 35R10 35K57 × Cite Format Result Cite Review PDF Full Text: DOI
Liu, Changying; Iserles, Arieh; Wu, Xinyuan Symmetric and arbitrarily high-order Birkhoff-Hermite time integrators and their long-time behaviour for solving nonlinear Klein-Gordon equations. (English) Zbl 1380.65052 J. Comput. Phys. 356, 1-30 (2018). MSC: 65D30 35Q40 34G10 65D05 × Cite Format Result Cite Review PDF Full Text: DOI
Zhu, Min; Li, Junping; Zhu, Yongxiang Exponential stability of neutral stochastic functional differential equations driven by \(G\)-Brownian motion. (English) Zbl 1412.60098 J. Nonlinear Sci. Appl. 10, No. 4, 1830-1841 (2017). MSC: 60H20 60H30 60J65 34K20 34K40 34K50 × Cite Format Result Cite Review PDF Full Text: DOI
Wang, Bin; Wu, Xinyuan; Meng, Fanwei; Fang, Yonglei Exponential Fourier collocation methods for solving first-order differential equations. (English) Zbl 1413.65309 J. Comput. Math. 35, No. 6, 711-736 (2017). MSC: 65L60 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Kim, Dohan; Miyazaki, Rinko; Naito, Toshiki; Shin, Jong Son Solutions of higher order inhomogeneous periodic evolutionary process. (English) Zbl 06958470 J. Korean Math. Soc. 54, No. 6, 1853-1878 (2017). MSC: 47A10 47D06 35B10 34C25 × Cite Format Result Cite Review PDF Full Text: DOI
Kpoumiè, Moussa El-Khalil; Ezzinbi, Khalil; Békollè, David Nonautonomous partial functional differential equations; existence and regularity. (English) Zbl 1431.34081 Nonauton. Dyn. Syst. 4, 108-127 (2017). MSC: 34K30 35R20 × Cite Format Result Cite Review PDF Full Text: DOI
Liu, Changying; Wu, Xinyuan Arbitrarily high-order time-stepping schemes based on the operator spectrum theory for high-dimensional nonlinear Klein-Gordon equations. (English) Zbl 1380.65205 J. Comput. Phys. 340, 243-275 (2017). MSC: 65M12 35Q41 34G10 65L60 × Cite Format Result Cite Review PDF Full Text: DOI
Liu, Changying; Wu, Xinyuan The boundness of the operator-valued functions for multidimensional nonlinear wave equations with applications. (English) Zbl 1379.35189 Appl. Math. Lett. 74, 60-67 (2017). MSC: 35L70 35L20 35A35 × Cite Format Result Cite Review PDF Full Text: DOI
Zhu, Min; Ren, Panpan; Li, Junping Exponential stability of solutions for retarded stochastic differential equations without dissipativity. (English) Zbl 1366.60085 Discrete Contin. Dyn. Syst., Ser. B 22, No. 7, 2923-2938 (2017). MSC: 60H10 60H30 37H10 × Cite Format Result Cite Review PDF Full Text: DOI
Bao, Jianhai; Yin, George; Yuan, Chenggui Stationary distributions for retarded stochastic differential equations without dissipativity. (English) Zbl 1379.60059 Stochastics 89, No. 2, 530-549 (2017). MSC: 60H10 60J75 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Wang, Bin; Wu, Xinyuan; Meng, Fanwei Trigonometric collocation methods based on Lagrange basis polynomials for multi-frequency oscillatory second-order differential equations. (English) Zbl 1353.65074 J. Comput. Appl. Math. 313, 185-201 (2017). MSC: 65L05 65L60 34A34 34C10 65L20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Hartung, Ferenc Nonlinear variation of constants formula for differential equations with state-dependent delays. (English) Zbl 1355.34098 J. Dyn. Differ. Equations 28, No. 3-4, 1187-1213 (2016). Reviewer: Zhanyuan Hou (London) MSC: 34K05 34K25 × Cite Format Result Cite Review PDF Full Text: DOI
Zou, Xiaoling; Wang, Ke Optimal harvesting for a stochastic Lotka-Volterra predator-prey system with jumps and nonselective harvesting hypothesis. (English) Zbl 1343.93103 Optim. Control Appl. Methods 37, No. 4, 641-662 (2016). MSC: 93E20 49N75 60H40 93E15 93D20 × Cite Format Result Cite Review PDF Full Text: DOI
Li, Yu-Wen; Wu, Xinyuan Exponential integrators preserving first integrals or Lyapunov functions for conservative or dissipative systems. (English) Zbl 1342.65230 SIAM J. Sci. Comput. 38, No. 3, A1876-A1895 (2016). MSC: 65P10 37M15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Liu, Changying; Wu, Xinyuan An energy-preserving and symmetric scheme for nonlinear Hamiltonian wave equations. (English) Zbl 1381.35105 J. Math. Anal. Appl. 440, No. 1, 167-182 (2016). MSC: 35L71 35L15 × Cite Format Result Cite Review PDF Full Text: DOI
Wang, Bin; Iserles, Arieh; Wu, Xinyuan Arbitrary-order trigonometric Fourier collocation methods for multi-frequency oscillatory systems. (English) Zbl 1341.65029 Found. Comput. Math. 16, No. 1, 151-181 (2016). Reviewer: Kai Diethelm (Braunschweig) MSC: 65L60 65L05 65L20 65P10 37M15 34C10 34A34 65L06 × Cite Format Result Cite Review PDF Full Text: DOI
Liu, Zaiming; Song, Na Asymptotic behavior of sample paths for retarded stochastic differential equations without dissipativity. (English) Zbl 1422.60101 Adv. Difference Equ. 2015, Paper No. 177, 12 p. (2015). MSC: 60H10 34K50 60H15 34K20 65C30 × Cite Format Result Cite Review PDF Full Text: DOI
Carrasco, A.; Leiva, Hugo; Merentes, N.; Sanchez, J. L. Controllability of semilinear systems of parabolic equations with delay on the state. (English) Zbl 1338.93072 Asian J. Control 17, No. 6, 2105-2114 (2015). MSC: 93B05 93C20 35K20 35K58 × Cite Format Result Cite Review PDF Full Text: DOI
Guo, Chengjun; O’Regan, Donal; Deng, Feiqi; Agarwal, Ravi P. Moment stability for uncertain stochastic neural networks with time-delays. (English) Zbl 1336.34112 Nonlinear Funct. Anal. Appl. 20, No. 4, 523-538 (2015). MSC: 34K50 60H10 93Dxx 92B20 34K20 × Cite Format Result Cite Review PDF
Vegas, José Manuel; Ildefonso Díaz, Jesús; Casal, Alfonso Complete recuperation after the blow up time for semilinear problems. (English) Zbl 1344.34045 Discrete Contin. Dyn. Syst. 2015, Suppl., 223-229 (2015). Reviewer: Pavel Rehak (Brno) MSC: 34C11 × Cite Format Result Cite Review PDF Full Text: DOI
Matsunaga, Hideaki; Murakami, Satoru; Nagabuchi, Yutaka; van Minh, Nguyen Center manifold theorem and stability for integral equations with infinite delay. (English) Zbl 1328.45014 Funkc. Ekvacioj, Ser. Int. 58, No. 1, 87-134 (2015). Reviewer: Ahmed M. A. El-Sayed (Alexandria) MSC: 45M10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Tan, Li Exponential stability of fractional stochastic differential equations with distributed delay. (English) Zbl 1417.39086 Adv. Difference Equ. 2014, Paper No. 321, 8 p. (2014). MSC: 39B82 60H05 × Cite Format Result Cite Review PDF Full Text: DOI
Wang, Bin; Wu, Xinyuan Improved filon-type asymptotic methods for highly oscillatory differential equations with multiple time scales. (English) Zbl 1349.65229 J. Comput. Phys. 276, 62-73 (2014). MSC: 65L06 34C15 34E13 × Cite Format Result Cite Review PDF Full Text: DOI
Ezzinbi, Khalil; Toure, Hamidou; Zabsonre, Issa Pseudo almost automorphic solutions of class \(r\) for some partial functional differential equations. (English) Zbl 1306.34107 Afr. Mat. 25, No. 1, 25-41 (2014). MSC: 34K13 34K30 × Cite Format Result Cite Review PDF Full Text: DOI
Wang, Bin; Liu, Kai; Wu, Xinyuan A Filon-type asymptotic approach to solving highly oscillatory second-order initial value problems. (English) Zbl 1349.65219 J. Comput. Phys. 243, 210-223 (2013). MSC: 65L05 34C15 65M20 × Cite Format Result Cite Review PDF Full Text: DOI
de la Cruz, H.; Biscay, R. J.; Jimenez, J. C.; Carbonell, F. Local linearization-Runge-Kutta methods: a class of A-stable explicit integrators for dynamical systems. (English) Zbl 1305.65171 Math. Comput. Modelling 57, No. 3-4, 720-740 (2013). MSC: 65L06 65P10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Ezzinbi, Khalil; Toure, Hamidou; Zabsonre, Issa Pseudo almost periodic solutions of class \(r\) for neutral partial functional differential equations. (English) Zbl 1306.34106 Afr. Mat. 24, No. 4, 691-704 (2013). MSC: 34K13 34K30 34K40 × Cite Format Result Cite Review PDF Full Text: DOI
Akrid, Thami; Maniar, Lahcen; Ouhinou, Aziz Periodic solutions of non-densely non-autonomous differential equations with delay. (English) Zbl 1277.35029 Afr. Diaspora J. Math. 15, No. 1, 25-42 (2013). MSC: 35B10 47D06 34G20 35K90 34K13 × Cite Format Result Cite Review PDF Full Text: Euclid
Ezzinbi, Khalil; Zabsonre, Issa Pseudo almost periodic solutions of infinite class for some functional differential equations. (English) Zbl 1375.34111 Appl. Anal. 92, No. 8, 1627-1642 (2013). MSC: 34K30 34K40 × Cite Format Result Cite Review PDF Full Text: DOI
Matsunaga, Hideaki; Murakami, Satoru; Nguyen, Van Minh Decomposition and variation-of-constants formula in the phase space for integral equations. (English) Zbl 1270.45003 Funkc. Ekvacioj, Ser. Int. 55, No. 3, 479-520 (2012). Reviewer: Alexander N. Tynda (Penza) MSC: 45E10 45D05 45M10 × Cite Format Result Cite Review PDF Full Text: DOI
Adimy, Mostafa; Ezzinbi, Khalil; Marquet, Catherine Center manifolds for some partial functional differential equations with infinite delay in fading memory spaces. (English) Zbl 1260.34137 J. Concr. Appl. Math. 10, No. 3-4, 168-185 (2012). MSC: 34K19 34K17 34K20 34K30 × Cite Format Result Cite Review PDF
Doan, T. S.; Moussi, M.; Siegmund, S. Integral manifolds of nonautonomous boundary Cauchy problems. (English) Zbl 1247.34078 J. Nonlinear Evol. Equ. Appl. 2012, 1-15 (2012). Reviewer: Gheorghe Moroşanu (Budapest) MSC: 34C45 34K06 34G20 92D25 × Cite Format Result Cite Review PDF Full Text: Link
Stojkovic, I.; van Gaans, O. Invariant measures and a stability theorem for locally Lipschitz stochastic delay equations. (English. French summary) Zbl 1278.34093 Ann. Inst. Henri Poincaré, Probab. Stat. 47, No. 4, 1121-1146 (2011). MSC: 34K50 60G48 60H10 × Cite Format Result Cite Review PDF Full Text: DOI Euclid
Bao, Jianhai; Mao, Xuerong; Yin, Geroge; Yuan, Chenggui Competitive Lotka-Volterra population dynamics with jumps. (English) Zbl 1228.93112 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 74, No. 17, 6601-6616 (2011). MSC: 93E03 60J60 60J05 60H10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Cuevas, Claudio; Henríquez, Hernán R. Solutions of second order abstract retarded functional differential equations on the line. (English) Zbl 1231.34135 J. Nonlinear Convex Anal. 12, No. 2, 225-240 (2011). Reviewer: Rodica Luca Tudorache (Iaşi) MSC: 34K30 47D09 × Cite Format Result Cite Review PDF Full Text: Link
Burton, T. A.; Dwiggins, D. P. Resolvents of integral equations with continuous kernels. (English) Zbl 1233.45001 Nonlinear Stud. 18, No. 2, 293-305 (2011). Reviewer: Olof Staffans (Aalto) MSC: 45D05 45A05 × Cite Format Result Cite Review PDF
Li, Qing-Kui; Zhao, Jun; Liu, Xiang-Jie; Dimirovski, Georgi M. Observer-based tracking control for switched linear systems with time-varying delay. (English) Zbl 1211.93049 Int. J. Robust Nonlinear Control 21, No. 3, 309-327 (2011). MSC: 93B51 93C05 93D30 93B50 × Cite Format Result Cite Review PDF Full Text: DOI
Boukli-Hacene, Nadira; Ezzinbi, Khalil Weighted pseudo-almost automorphic solutions for some partial functional differential equations. (English) Zbl 1223.35032 Nonlinear Anal., Real World Appl. 12, No. 1, 562-570 (2011). MSC: 35B15 × Cite Format Result Cite Review PDF Full Text: DOI
Nguyen Thieu Huy; Trinh Viet Duoc Robustness of exponential dichotomy of evolution equations under admissible perturbations on a half-line. (English) Zbl 1253.35074 Int. J. Evol. Equ. 5, No. 3, 281-298 (2010). MSC: 35K90 34G10 34D09 34D10 35B20 35B35 × Cite Format Result Cite Review PDF
Abdelhaq, Sghir Stability and instability of a semilinear functional differential equation with finite delay in Banach spaces. (Stabilité et instabilité d’une équation différentielle fonctionnelle semi-linéaire à retard fini dans des espaces de Banach.) (French) Zbl 1219.34096 Acta Math. Vietnam. 35, No. 2, 319-328 (2010). Reviewer: Gheorghe Moroşanu (Budapest) MSC: 34K30 34K20 × Cite Format Result Cite Review PDF Full Text: Link
Elazzouzi, Abdelhai \(C^{(n)}\)-almost periodic and \(C^{(n)}\)-almost automorphic solutions for a class of partial functional differential equations with finite delay. (English) Zbl 1204.35169 Nonlinear Anal., Hybrid Syst. 4, No. 4, 672-688 (2010). MSC: 35R10 35R11 35B09 35A15 × Cite Format Result Cite Review PDF Full Text: DOI
Elazzouzi, Abdelhai; Ouhinou, Aziz Variation of constants formula and reduction principle for a class of partial functional differential equations with infinite delay. (English) Zbl 1214.34066 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 73, No. 7, 1980-2000 (2010). Reviewer: Ioan I. Vrabie (Iaşi) MSC: 34K30 47D06 47H20 34K13 34K14 × Cite Format Result Cite Review PDF Full Text: DOI
Adimy, Mostafa; Elazzouzi, Abdelhai; Ezzinbi, Khalil Reduction principle and dynamic behaviors for a class of partial functional differential equations. (English) Zbl 1178.34097 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 71, No. 5-6, 1709-1727 (2009). Reviewer: Rodica Luca Tudorache (Iaşi) MSC: 34K30 34K14 35B15 34K05 43A60 × Cite Format Result Cite Review PDF Full Text: DOI
Appleby, John A. D.; Mao, Xuerong; Riedle, Markus Geometric Brownian motion with delay: mean square characterisation. (English) Zbl 1156.60045 Proc. Am. Math. Soc. 137, No. 1, 339-348 (2009). MSC: 60H20 60H10 34K20 34K50 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Carrasco, Alexander; Leiva, Hugo Approximate controllability of a system of parabolic equations with delay. (English) Zbl 1140.93012 J. Math. Anal. Appl. 345, No. 2, 845-853 (2008). MSC: 93B05 93B20 35K50 93B28 × Cite Format Result Cite Review PDF Full Text: DOI Link
Riedle, Markus Solutions of affine stochastic functional differential equations in the state space. (English) Zbl 1143.60042 J. Evol. Equ. 8, No. 1, 71-97 (2008). Reviewer: Michael Högele (Berlin) MSC: 60H20 60J35 60G48 47D07 34K50 × Cite Format Result Cite Review PDF Full Text: DOI Link
Adimy, Mostafa; Ezzinbi, Khalil; Ouhinou, Aziz Behavior near hyperbolic stationary solutions for partial functional differential equations with infinite delay. (English) Zbl 1202.34137 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 68, No. 8, 2280-2302 (2008). MSC: 34K30 34K25 35R10 34K19 34K21 34K20 × Cite Format Result Cite Review PDF Full Text: DOI
Pachpatte, B. G. On a nonlinear Volterra integrodifferential equation involving iterated integrals. (English) Zbl 1160.45304 Bull. Greek Math. Soc. 53, 107-118 (2007). MSC: 45J05 45G10 × Cite Format Result Cite Review PDF
Su, Meng Global solutions of parabolic equations with nonlinear boundary conditions. (English) Zbl 1144.35417 Commun. Appl. Nonlinear Anal. 14, No. 3, 1-25 (2007). MSC: 35K60 34K30 35K50 35K90 45K05 × Cite Format Result Cite Review PDF
Choi, Sung Kyu; Goo, Yoon Hoe; Koo, Nam Jip Asymptotic behavior of nonlinear Volterra difference systems. (English) Zbl 1136.39004 Bull. Korean Math. Soc. 44, No. 1, 177-184 (2007). Reviewer: Zhibo Huang (Guangzhou) MSC: 39A11 × Cite Format Result Cite Review PDF Full Text: DOI
Adimy, Mostafa; Ezzinbi, Khalil; Wu, Jianhong Center manifold and stability in critical cases for some partial functional differential equations. (English) Zbl 1121.37063 Int. J. Evol. Equ. 2, No. 1, 47-73 (2007). MSC: 37L10 34K30 34G20 35R10 37K20 47D06 × Cite Format Result Cite Review PDF
Reiß, Markus; Riedle, Markus; van Gaans, Onno On Émery’s inequality and a variation-of-constants formula. (English) Zbl 1127.60062 Stochastic Anal. Appl. 25, No. 2, 353-379 (2007). Reviewer: Maria Stolarczyk (Katowice) MSC: 60H20 60G48 34K50 × Cite Format Result Cite Review PDF Full Text: DOI Link
Bede, Barnabás; Rudas, Imre J.; Bencsik, Attila L. First order linear fuzzy differential equations under generalized differentiability. (English) Zbl 1119.34003 Inf. Sci. 177, No. 7, 1648-1662 (2007). MSC: 34A12 34A30 × Cite Format Result Cite Review PDF Full Text: DOI
De la Cruz, H.; Biscay, R. J.; Carbonell, F.; Ozaki, T.; Jimenez, J. C. A higher order local linearization method for solving ordinary differential equations. (English) Zbl 1115.65080 Appl. Math. Comput. 185, No. 1, 197-212 (2007). Reviewer: Manuel Calvo (Zaragoza) MSC: 65L05 34A34 × Cite Format Result Cite Review PDF Full Text: DOI
Ezzinbi, Khalil; N’Guérékata, Gaston Mandata Almost automorphic solutions for some partial functional differential equations. (English) Zbl 1121.34081 J. Math. Anal. Appl. 328, No. 1, 344-358 (2007). Reviewer: Mirosława Zima (Rzeszow) MSC: 34K30 35R10 35L90 47D06 × Cite Format Result Cite Review PDF Full Text: DOI
Nagabuchi, Yutaka Decomposition of phase space for linear Volterra difference equations in a Banach space. (English) Zbl 1125.39018 Funkc. Ekvacioj, Ser. Int. 49, No. 2, 269-290 (2006). Reviewer: Jean Mawhin (Louvain-La-Neuve) MSC: 39A12 39A11 × Cite Format Result Cite Review PDF Full Text: DOI
Filali, Mohammed; Karim, Belhadj Non-autonomous inhomogeneous boundary Cauchy problems. (English) Zbl 1116.34046 Electron. J. Differ. Equ. 2006, Conf. 14, 191-205 (2006). MSC: 34G10 47D06 × Cite Format Result Cite Review PDF Full Text: EuDML EMIS
Riedle, Markus Lyapunov exponents for linear delay equations in arbitrary phase spaces. (English) Zbl 1112.34040 Integral Equations Oper. Theory 54, No. 2, 259-278 (2006). Reviewer: Michael Scheutzow (Berlin) MSC: 34K06 34K50 34K25 34K12 × Cite Format Result Cite Review PDF Full Text: DOI Link
Ezzinbi, Khalil; N’guérékata, Gaston M. Massera type theorem for almost automorphic solutions of functional differential equations of neutral type. (English) Zbl 1122.34052 J. Math. Anal. Appl. 316, No. 2, 707-721 (2006). Reviewer: Aleksandr Lomtatidze (Brno) MSC: 34K14 34K40 × Cite Format Result Cite Review PDF Full Text: DOI
Xu, Qianli; Xu, Shuiqing Application of Lagrange interpolation to a class of the nonhomogeneous linear differential equations with constant coefficients. (Chinese. English summary) Zbl 1099.34504 J. Hunan City Univ., Nat. Sci. 14, No. 4, 34-36 (2005). MSC: 34A30 34A12 34A45 × Cite Format Result Cite Review PDF
Bertoni, Stefano Multiplicative perturbations of constant-domain evolution equations. (English) Zbl 1082.34047 J. Evol. Equ. 5, No. 2, 291-316 (2005). Reviewer: Adina Luminiţa Sasu (Timişoara) MSC: 34G10 47D06 47A55 92D25 × Cite Format Result Cite Review PDF Full Text: DOI
Higgins, Raegan J.; Peterson, Allan Cauchy functions and Taylor’s formula for time scales \(\mathbb T\). (English) Zbl 1065.39032 Aulbach, Bernd (ed.) et al., New progress in difference equations. Proceedings of the 6th international conference on difference equations, Augsburg, Germany July 30–August 3, 2001. Boca Raton, FL: CRC Press (ISBN 0-415-31675-8/hbk). 299-308 (2004). MSC: 39A12 26A24 34B27 × Cite Format Result Cite Review PDF
Du, Qiang; Zhu, Wenxiang Stability analysis and application of the exponential time differencing schemes. (English) Zbl 1052.65081 J. Comput. Math. 22, No. 2, 200-209 (2004). Reviewer: Alois Steindl (Wien) MSC: 65M12 65M70 65M06 35K55 × Cite Format Result Cite Review PDF
Filali, M.; Moussi, M. Non-autonomous inhomogeneous boundary Cauchy problems and retarded equations. (English) Zbl 07952274 Proyecciones 22, No. 2, 145-159 (2003). MSC: 34G10 34K30 47D06 × Cite Format Result Cite Review PDF Full Text: DOI
Filali, M.; Moussi, M. Non-autonomous inhomogeneous boundary Cauchy problems and retarded equations. (English) Zbl 1057.34058 Southwest J. Pure Appl. Math. 2003, No. 2, 26-35 (2003). Reviewer: Rainer Nagel (Tübingen) MSC: 34G10 34K30 × Cite Format Result Cite Review PDF Full Text: EuDML EMIS
Boulite, Said; Maniar, Lahcen; Moussi, Mohammed Non-autonomous retarded differential equations: the variation of constants formulas and the asymptotic behaviour. (English) Zbl 1060.47044 Electron. J. Differ. Equ. 2003, Paper No. 62, 15 p. (2003). Reviewer: Rainer Nagel (Tübingen) MSC: 47D06 34G10 34K30 × Cite Format Result Cite Review PDF Full Text: EuDML EMIS
Dannan, F.; Elaydi, S.; Li, P. Stability theory of Volterra difference equations. (English) Zbl 1044.39003 Martynyuk, A. A. (ed.), Advances in stability theory at the end of the 20th century. London: Taylor & Francis (ISBN 0-415-26962-8/hbk). Stab. Control Theory Methods Appl. 13, 89-106 (2003). Reviewer: Patricia J. Y. Wong (Singapore) MSC: 39A11 39A20 × Cite Format Result Cite Review PDF
Avrin, J.; Babin, A.; Mahalov, A.; Nicolaenko, B. On regularity of solutions of 3D Navier-Stokes equations. (English) Zbl 1022.76010 Appl. Anal. 71, No. 1-4, 197-214 (1999). MSC: 76D03 35Q30 35B65 76U05 35B30 × Cite Format Result Cite Review PDF Full Text: DOI
Caubet, Jean-Pierre Matrix semigroups and differential equations: Ergodism and asymptotic behaviour of solutions with or without impulses, a survey. (English) Zbl 0893.34050 Nonlinear Anal., Theory Methods Appl. 30, No. 5, 2753-2764 (1997). Reviewer: Henri Schurz MSC: 34E10 34A37 34C05 34-02 47H20 × Cite Format Result Cite Review PDF Full Text: DOI
Dauer, J. P.; Balachandran, K. Existence of solutions for an integrodifferential equation with nonlocal condition in Banach spaces. (English) Zbl 0862.45016 Libertas Math. 16, 133-143 (1996). Reviewer: O.Staffans (Åbo) MSC: 45N05 45J05 45G10 47H20 × Cite Format Result Cite Review PDF
Oka, Hirokazu Linear Volterra equations and integrated solution families. (English) Zbl 0862.45017 Semigroup Forum 53, No. 3, 278-297 (1996). Reviewer: O.Staffans (Åbo) MSC: 45N05 45D05 × Cite Format Result Cite Review PDF Full Text: DOI EuDML
Tanaka, Naoki Semilinear equations in the “hyperbolic” case. (English) Zbl 0827.34052 Nonlinear Anal., Theory Methods Appl. 24, No. 5, 773-788 (1995). Reviewer: S.Rogovchenko (Firenze) MSC: 34G20 47J05 58D25 × Cite Format Result Cite Review PDF Full Text: DOI
Guidotti, Patrick Q. Singular parabolic evolution equations and applications. (English) Zbl 0871.35113 Zürich: Univ. Zürich, Philosophische Fak. II, iii, 84 p. (1995). MSC: 35R35 35G10 35K25 × Cite Format Result Cite Review PDF
Talpalaru, Pavel On \(l_{\omega,\sigma}^ p\)-stability of difference equations. (English) Zbl 0831.39004 Bul. Inst. Politeh. Iași, Secț. I 39, No. 1-4, 53-59 (1993). MSC: 39A11 × Cite Format Result Cite Review PDF
Pelant, Martin; Tvrdý, Milan Linear distributional differential equations in the space of regulated functions. (English) Zbl 0796.34014 Math. Bohem. 118, No. 4, 379-400 (1993). Reviewer: J.Diblík (Brno) MSC: 34A37 46F99 34A30 × Cite Format Result Cite Review PDF Full Text: DOI EuDML
Prüss, Jan Evolutionary integral equations and applications. (English) Zbl 0784.45006 Monographs in Mathematics 87. Basel: Birkhäuser Verlag (ISBN 3-7643-2876-2/hbk; 978-3-0348-0498-1/pbk; 978-3-0348-0499-8/ebook). xxvi, 366 p. (1993). Reviewer: O.Staffans (Espoo) MSC: 45N05 45-02 45A05 45M05 45J05 45K05 45D05 76A10 74Hxx × Cite Format Result Cite Review PDF Full Text: DOI Backlinks: MO
Guo, Yunxia Partial stability for nonlinear time varying dynamical systems. (English) Zbl 0767.34034 Ann. Differ. Equations 8, No. 3, 276-283 (1992). Reviewer: A.Hausrath (Boise) MSC: 34D20 × Cite Format Result Cite Review PDF
Morchało, Jarosław Qualitative behavior of integrodifferential systems. (English) Zbl 0770.45010 Publ. Math. Debr. 41, No. 3-4, 231-241 (1992). Reviewer: A.Cañada (Granada) MSC: 45J05 45F05 45M10 × Cite Format Result Cite Review PDF
Sforza, Daniela On a class of second order integrodifferential equations. (English) Zbl 0757.45012 Rend. Semin. Mat. Univ. Padova 86, 157-174 (1991). Reviewer: O.Staffans (Espoo) MSC: 45N05 45J05 × Cite Format Result Cite Review PDF Full Text: Numdam EuDML
Morchało, Jarosław Asymptotic equivalence of Volterra integrodifferential equations. (English) Zbl 0746.45007 Rad. Mat. 7, No. 2, 207-216 (1991). Reviewer: P.Talpalaru (Iaşi) MSC: 45J05 45M05 45G15 45D05 × Cite Format Result Cite Review PDF
Diekmann, Odo; van Gils, Stephan A. The center manifold for delay equations in the light of suns and stars. (English) Zbl 0742.47009 Singularity theory and its applications. Pt. II: Singularities, bifurcations and dynamics, Proc. Symp., Warwick/UK 1988-89, Lect. Notes Math. 1463, 122-141 (1991). Reviewer: A.V.Balakrishnan (Los Angeles) MSC: 47D06 34K99 47H20 × Cite Format Result Cite Review PDF
Morchało, Jarosław On \((\psi,L_ p)\)-stability of nonlinear systems of differential equations. (English) Zbl 0794.34041 An. Științ. Univ. Al. I. Cuza Iași, Ser. Nouă, Mat. 36, No. 4, 353-360 (1990). Reviewer: W.Müller (Berlin) MSC: 34D10 34D05 34D20 × Cite Format Result Cite Review PDF