61. Favin, Angelo; Ruiz Goldstein, Gisèle; Goldstein, Jerome A.; Obrecht, Enrico; Romanelli, Silvia: General Wenzel boundary conditions and analytic semigroups on W[sup]{1,p}(0,1). - Appl. Anal. 82, no. 9, 927-935. [ISSN 0003-6811; ISSN 1563-504X]Miklavž Mastinšek, 2004, review, book review, critique Keywords: matematika, analiza, analitične polgrupe, splošni Wentzelovi robni pogoji, mathematics, analysis, analytic semigroups, general Wentzel boundary conditions
Published in DKUM: 10.07.2015; Views: 1158; Downloads: 34
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62. Yu, Wenhuan; Zhang, Fenling; Xie, Weisong: Differentability of C[sub]0-semigroups with respect to parameters and its application. - J. Math. Anal. Appl. 279, no. 1, 78-96 (2003) [ISSN 0022-247X]Miklavž Mastinšek, 2004, review, book review, critique Keywords: matematika, analiza, zaprti linearni operatorji, ▫$C_0$▫-polgrupa, infinitezimalni generator, posplošena zveznost, mathematics, analysis, ▫$C_0$▫-semigroup, infinitesimal generator, Fréchet differentiable, Gâteaux differentiable, continuity in the generalized sense
Published in DKUM: 10.07.2015; Views: 1120; Downloads: 39
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63. Peng, Ji-Gen; Xu, Zong-Ben: An estimate of growth bound of positive C[sub]0-semigroup on L[sup]p space and its applicatons. - Integral Equations Oper. Theory 46, no. 4, 489-500 (2003). [ISSN 0378-620X]Miklavž Mastinšek, 2004, review, book review, critique Keywords: matematika, analiza, ▫$L^p$▫ prostori, ▫$C_0$▫-polgrupa, eksponentna stabilnost, mathematics, analysis, ▫$C_0$▫-semigroup, ▫$L^p$▫ spaces, exponential stability
Published in DKUM: 10.07.2015; Views: 985; Downloads: 28
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64. Buşe, Constantin; Jitiau, Oprea: A new theorem on exponential stability of periodic evolution families on Banach spaces. - Electron. J. Differ. Equ. 2003, Paper no. 14, 10 p., electronic only (2003). [ISSN 1072-6691]Miklavž Mastinšek, 2004, review, book review, critique Keywords: matematika, analiza, skoraj periodične funkcije, eksponentna stabilnost, integralska neenakost, diferencialna neenakost, Banachov prostor, mathematics, analysis, almost periodic functions, exponential stability, periodic evolution families of operators, integral inequality, differential inequality on Banach spaces
Published in DKUM: 10.07.2015; Views: 1338; Downloads: 36
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65. Henríquez, Hernán R.: The Kneser property for abstract retarded functional differential equations with infinite delay. - Int. J. Math. Math. Sci. 2003, no. 26, 1645-1661 (2003). [ISSN 0161-1712]Miklavž Mastinšek, 2004, review, book review, critique Keywords: matematika, diferencialne enačbe, Kneserjeva lastnost, zvezna polgrupa, mathematics, functional-differential equations, Kneser property, infinite delay, continuous semigroup, existence, mild solutions
Published in DKUM: 10.07.2015; Views: 1158; Downloads: 24
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66. Wang, Linshan; Xu, Daoyi: Asymptotic behavior of a class of reaction-diffusion equations with delays. - J. Math. Anal. Appl. 281, no. 2, 439-453 (2003). [ISSN 0022-247X]Miklavž Mastinšek, 2004, review, book review, critique Keywords: matematika, parcialne diferencialne enačbe, Soboljev prostor, atraktor, mathematics, partial differential equations, time delays, diffusion operator, semigroup operator, Sobolev space, attractor, compact global and connected attractor
Published in DKUM: 10.07.2015; Views: 1214; Downloads: 31
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67. Arendt, Wolfgang; Bu, Shangquan: Tools for maximal regularity. - Math. Proc. Camb. Philos. Soc. 134, no. 2, 317-336 (2003). [ISSN 0305-0042; ISSN 1469-8064]Miklavž Mastinšek, 2004, review, book review, critique Keywords: matematika, teorija operatorjev, navadne diferencialne enačbe, ▫$C_0$▫-polgrupe, maksimalna regularnost, nehomogeni Cauchyjev problem, mathematics, operator theory, ordinary differential equations, ▫$C_0$▫-semigroups, maximal regularity, inhomogeneous Cauchy problem, UMD-space, mild solution
Published in DKUM: 10.07.2015; Views: 1648; Downloads: 47
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68. Adjoints of solution semigroups and identifiability of delay differential equations in Hilbert spacesMiklavž Mastinšek, 1994, original scientific article Abstract: The paper deals with semigroups of operators associated with delay differential equation: ▫$dot{x}=Ax(t)+L_1x(t-h)+L_2x_t$▫, where ▫$A$▫ is the infinitesimal generator of an analytic semigroup on a Hilbert space ▫$X$▫ and ▫$L_1$▫, ▫$L_2$▫ are densely defined closed operators in ▫$X$▫ and ▫$L^2(-h,0;X)$▫ respectively. The adjoint semigroup of the solution semigroup of the delay differential equation is characterized. Eigenspaces of the generator of the adjoint semigroup are studied and the identifiability of parameters of the equation is given.
Keywords: matematika, analiza, navadne diferencialne enačbe, polgrupe operatorjev, diferencialne enačbe z zakasnitvijo, polgrupe rešitev, adjungirane polgrupe, prepoznavnost
Published in DKUM: 10.07.2015; Views: 966; Downloads: 50
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70. Stability conditions for abstract functional differential equations in Hilbert spaceMiklavž Mastinšek, 2003, original scientific article Abstract: Stability conditions for functional differential equations of the form: du (t)/dt = Au(t) + bAu(t-h) + (a*Au)(t) are studied, where A is the infinitesimal generator of an analytic semigroup in a Hilbert space, b # 0 and the convolution term contains a square integrable real function a # 0. Norm discontinuity of the solution semigroup of the equation with discrete delay is avoided by studying the inverse of the characteristic operator. Sufficient and necessary conditions for the uniform exponential stability of the solution semigroup are obtained. The results are applied to a retarded partial integrodifferential equation.
Published in DKUM: 02.06.2012; Views: 1295; Downloads: 110
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