Journal articles on the topic 'Evolution equations'

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1

Simon, László. "Second order quasilinear functional evolution equations." Mathematica Bohemica 140, no. 2 (2015): 139–52. http://dx.doi.org/10.21136/mb.2015.144322.

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2

Vrkoč, Ivo. "Weak averaging of stochastic evolution equations." Mathematica Bohemica 120, no. 1 (1995): 91–111. http://dx.doi.org/10.21136/mb.1995.125891.

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3

Seidler, Jan, and Ivo Vrkoč. "An averaging principle for stochastic evolution equations. I." Časopis pro pěstování matematiky 115, no. 3 (1990): 240–63. http://dx.doi.org/10.21136/cpm.1990.118403.

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4

Obrecht, Enrico. "Evolution operators for higher order abstract parabolic equations." Czechoslovak Mathematical Journal 36, no. 2 (1986): 210–22. http://dx.doi.org/10.21136/cmj.1986.102085.

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5

Maslowski, Bohdan, Jan Seidler, and Ivo Vrkoč. "An averaging principle for stochastic evolution equations. II." Mathematica Bohemica 116, no. 2 (1991): 191–224. http://dx.doi.org/10.21136/mb.1991.126137.

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6

Ciafaloni, Paolo, and Denis Comelli. "Electroweak evolution equations." Journal of High Energy Physics 2005, no. 11 (November 15, 2005): 022. http://dx.doi.org/10.1088/1126-6708/2005/11/022.

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7

Wei, Susan, and Victor M. Panaretos. "Empirical evolution equations." Electronic Journal of Statistics 12, no. 1 (2018): 249–76. http://dx.doi.org/10.1214/17-ejs1382.

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8

Basarab-Horwath, P., V. Lahno, and R. Zhdanov. "Classifying evolution equations." Nonlinear Analysis 47, no. 8 (August 2001): 5135–44. http://dx.doi.org/10.1016/s0362-546x(01)00623-x.

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9

Lin, Chin-Yuan. "Functional evolution equations." Journal of Mathematical Analysis and Applications 285, no. 2 (September 2003): 463–76. http://dx.doi.org/10.1016/s0022-247x(03)00412-8.

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10

Gubinelli, Massimiliano, and Samy Tindel. "Rough evolution equations." Annals of Probability 38, no. 1 (January 2010): 1–75. http://dx.doi.org/10.1214/08-aop437.

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11

Plebański, J. F., and M. Przanowski. "Evolution hyperheavenly equations." Journal of Mathematical Physics 35, no. 11 (November 1994): 5990–6000. http://dx.doi.org/10.1063/1.530723.

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12

Picard, R. H. "Evolution Equations as Space-Time Operator Equations." Journal of Mathematical Analysis and Applications 173, no. 2 (March 1993): 436–58. http://dx.doi.org/10.1006/jmaa.1993.1078.

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13

Van der Merwe, A. J. "Perturbations of evolution equations." Applicable Analysis 62, no. 3-4 (November 1996): 367–80. http://dx.doi.org/10.1080/00036819608840489.

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14

Manthey, Ralf, and Thomas Zausinger. "Stochastic evolution equations in." Stochastics and Stochastic Reports 66, no. 1-2 (March 1999): 37–85. http://dx.doi.org/10.1080/17442509908834186.

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15

El-Borai, Mahmoud M. "Evolution equations without semigroups." Applied Mathematics and Computation 149, no. 3 (February 2004): 815–21. http://dx.doi.org/10.1016/s0096-3003(03)00187-5.

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16

Klimasara, Paweł, Michael C. Mackey, Andrzej Tomski, and Marta Tyran-Kamińska. "Randomly switching evolution equations." Nonlinear Analysis: Hybrid Systems 39 (February 2021): 100948. http://dx.doi.org/10.1016/j.nahs.2020.100948.

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17

van der Kamp, P. H., and J. A. Sanders. "Almost integrable evolution equations." Selecta mathematica, New series 8, no. 4 (December 2002): 705–19. http://dx.doi.org/10.1007/pl00012605.

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18

Kloeden, Peter E., and Thomas Lorenz. "Stochastic morphological evolution equations." Journal of Differential Equations 251, no. 10 (November 2011): 2950–79. http://dx.doi.org/10.1016/j.jde.2011.03.013.

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19

Kuttler, Kenneth L., and Ji Li. "Generalized stochastic evolution equations." Journal of Differential Equations 257, no. 3 (August 2014): 816–42. http://dx.doi.org/10.1016/j.jde.2014.04.017.

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20

Svinolupov, S. I., and V. V. Sokolov. "Factorization of evolution equations." Russian Mathematical Surveys 47, no. 3 (June 30, 1992): 127–62. http://dx.doi.org/10.1070/rm1992v047n03abeh000895.

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21

Wang, Yang, Guo-Wei Wei, and Siyang Yang. "Mode Decomposition Evolution Equations." Journal of Scientific Computing 50, no. 3 (July 9, 2011): 495–518. http://dx.doi.org/10.1007/s10915-011-9509-z.

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22

Calsina, Angel, and Carles Perelló. "Equations for biological evolution." Proceedings of the Royal Society of Edinburgh: Section A Mathematics 125, no. 5 (1995): 939–58. http://dx.doi.org/10.1017/s0308210500022575.

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In this paper we consider mathematical models inspired by the mechanisms of biological evolution. We take populations which are subject to interaction and mutation. In the cases we consider, the interaction is through competition or through a prey-predator relationship. The models consider the specific characteristics as taking values in real intervals and the equations are of the integro—differential type. In the case of competition, thanks to the fact that some of the equations have solutions which are quite explicit, we succeed in proving the existence of attracting stationary solutions. In the case of prey and predator, using techniques of dynamical systems in infinite-dimensional spaces, we succeed in showing the existence of a global attractor, which in some instances reduces to a point. Our analysis takes into account having δ distributions, corresponding to all individuals having the same characteristics, as possible populations.
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23

Jiang,, Song, E. Racke,, and MV Shitikova,. "Evolution Equations in Thermoelasticity." Applied Mechanics Reviews 55, no. 1 (January 1, 2002): B17—B18. http://dx.doi.org/10.1115/1.1445336.

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24

van der Kamp, Peter H., and Jan A. Sanders. "Almost integrable evolution equations." Selecta Mathematica 8, no. 4 (December 2002): 705–19. http://dx.doi.org/10.1007/bf02637315.

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25

Costanza, G. "A theorem allowing to derive deterministic evolution equations from stochastic evolution equations." Physica A: Statistical Mechanics and its Applications 390, no. 10 (May 2011): 1713–22. http://dx.doi.org/10.1016/j.physa.2010.08.023.

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26

Jabeen, Tahira, Ravi P. Agarwal, Vasile Lupulescu, and Donal O’Regan. "Impulsive Evolution Equations with Causal Operators." Symmetry 12, no. 1 (December 25, 2019): 48. http://dx.doi.org/10.3390/sym12010048.

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In this paper, we establish sufficient conditions for the existence of mild solutions for certain impulsive evolution differential equations with causal operators in separable Banach spaces. We rely on the existence of mild solutions for the strongly continuous semigroups theory, the measure of noncompactness and the Schauder fixed point theorem. We consider the impulsive integro-differential evolutions equation and impulsive reaction diffusion equations (which could include symmetric kernels) as applications to illustrate our main results.
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27

Müller, D., D. Robaschik, and B. Geyer. "Wave functions, evolution equations and evolution kernels." Nuclear Physics B - Proceedings Supplements 29, no. 1 (December 1992): 22–29. http://dx.doi.org/10.1016/0920-5632(92)90418-r.

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28

Kudryashov, N. A. "From singular manifold equations to integrable evolution equations." Journal of Physics A: Mathematical and General 27, no. 7 (April 7, 1994): 2457–70. http://dx.doi.org/10.1088/0305-4470/27/7/023.

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29

Costanza, G. "Discrete stochastic evolution rules and continuum evolution equations." Physica A: Statistical Mechanics and its Applications 388, no. 13 (July 2009): 2600–2622. http://dx.doi.org/10.1016/j.physa.2009.02.042.

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30

Tsutsumi, Yoshio. "Theory of Hyperbolic Evolution Equations and Partial Differential Equations." Sugaku Expositions 32, no. 2 (September 26, 2019): 137–53. http://dx.doi.org/10.1090/suga/441.

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31

Agarwal, Ravi P., Sadia Arshad, Vasile Lupulescu, and Donal 'Regan. "Evolution equations with causal operators." Differential Equations & Applications, no. 1 (2015): 15–26. http://dx.doi.org/10.7153/dea-07-02.

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32

Abbas, Said, Amaria Arara, Mouffak Benchohra, and Fatima Mesri. "Evolution equations in Fréchet spaces." Journal of Mathematical Sciences and Modelling 1, no. 1 (May 27, 2018): 33–38. http://dx.doi.org/10.33187/jmsm.419917.

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33

Al Horani, Mohammed, and Angelo Favini. "First-order inverse evolution equations." Evolution Equations & Control Theory 3, no. 3 (2014): 355–61. http://dx.doi.org/10.3934/eect.2014.3.355.

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34

Dattoli, Giuseppe, and Amalia Torre. "Root Operators and “Evolution” Equations." Mathematics 3, no. 3 (August 13, 2015): 690–726. http://dx.doi.org/10.3390/math3030690.

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35

Ván, P., R. Kovács, and T. Fülöp. "Thermodynamic hierarchies of evolution equations." Proceedings of the Estonian Academy of Sciences 64, no. 3 (2015): 389. http://dx.doi.org/10.3176/proc.2015.3s.09.

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36

Bellettini, Giovanni, Anna De Masi, and Errico Presutti. "Tunnelling in Nonlocal Evolution Equations." Journal of Nonlinear Mathematical Physics 12, sup1 (January 2005): 50–63. http://dx.doi.org/10.2991/jnmp.2005.12.s1.5.

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37

Ebel, Witta, and Piero de Mottoni. "On some normalized evolution equations." Applicable Analysis 36, no. 1-2 (January 1990): 1–24. http://dx.doi.org/10.1080/00036819008839918.

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38

Rossi, Julio D., and Carola-Bibiane Schönlieb. "Nonlocal higher order evolution equations." Applicable Analysis 89, no. 6 (June 2010): 949–60. http://dx.doi.org/10.1080/00036811003735824.

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39

Kim, Jai Heui. "On nonlinear stochastic evolution equations∗." Stochastic Analysis and Applications 14, no. 3 (January 1996): 303–11. http://dx.doi.org/10.1080/07362999608809441.

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40

Curtright, Thomas, and Cosmas Zachos. "Evolution profiles and functional equations." Journal of Physics A: Mathematical and Theoretical 42, no. 48 (November 17, 2009): 485208. http://dx.doi.org/10.1088/1751-8113/42/48/485208.

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41

WHEELER, GLEN. "FOURTH ORDER GEOMETRIC EVOLUTION EQUATIONS." Bulletin of the Australian Mathematical Society 82, no. 3 (November 18, 2010): 523–24. http://dx.doi.org/10.1017/s0004972710001863.

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42

Yong, Li, Cong Fuzhong, Lin Zhenghua, and Liu Wenbin. "Periodic solutions for evolution equations." Nonlinear Analysis: Theory, Methods & Applications 36, no. 3 (May 1999): 275–93. http://dx.doi.org/10.1016/s0362-546x(97)00626-3.

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43

Mazón, José M., Julio D. Rossi, and Julián Toledo. "Fractional p-Laplacian evolution equations." Journal de Mathématiques Pures et Appliquées 105, no. 6 (June 2016): 810–44. http://dx.doi.org/10.1016/j.matpur.2016.02.004.

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44

Costanza, G. "Non-Markovian stochastic evolution equations." Physica A: Statistical Mechanics and its Applications 402 (May 2014): 224–35. http://dx.doi.org/10.1016/j.physa.2014.01.038.

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45

Barth�lemy, Louise, and Philippe B�nilan. "Subsolutions for abstract evolution equations." Potential Analysis 1, no. 1 (March 1992): 93–113. http://dx.doi.org/10.1007/bf00249788.

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46

El-Borai, Mahmoud M., Khairia El-Said El-Nadi, and Eman G. El-Akabawy. "On some fractional evolution equations." Computers & Mathematics with Applications 59, no. 3 (February 2010): 1352–55. http://dx.doi.org/10.1016/j.camwa.2009.05.005.

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47

Zhdanov, Renat. "Nonlocal symmetries of evolution equations." Nonlinear Dynamics 60, no. 3 (November 7, 2009): 403–11. http://dx.doi.org/10.1007/s11071-009-9604-y.

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48

Balakrishnan, Radha. "Geometry and nonlinear evolution equations." Pramana 48, no. 1 (January 1997): 189–204. http://dx.doi.org/10.1007/bf02845630.

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49

Schnaubelt, Roland. "Asymptotically autonomous parabolic evolution equations." Journal of Evolution Equations 1, no. 1 (March 2001): 19–37. http://dx.doi.org/10.1007/pl00001363.

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50

Amann, Herbert. "Semigroups and nonlinear evolution equations." Linear Algebra and its Applications 84 (December 1986): 3–32. http://dx.doi.org/10.1016/0024-3795(86)90305-8.

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