Gschwindl, Jürgen; Rachůnková, Irena; Staněk, Svatoslav; Weinmüller, Ewa B. Positive blow-up solutions of nonlinear models from real world dynamics. (English) Zbl 1306.34037 Bound. Value Probl. 2014, Paper No. 121, 23 p. (2014). MSC: 34B18 34B16 34A12 PDFBibTeX XMLCite \textit{J. Gschwindl} et al., Bound. Value Probl. 2014, Paper No. 121, 23 p. (2014; Zbl 1306.34037) Full Text: DOI
Rachůnková, Irena; Spielauer, Alexander; Staněk, Svatoslav; Weinmüller, Ewa B. Positive solutions of nonlinear Dirichlet BVPs in ODEs with time and space singularities. (English) Zbl 1284.34036 Bound. Value Probl. 2013, Paper No. 6, 22 p. (2013). MSC: 34B18 34B16 47N20 PDFBibTeX XMLCite \textit{I. Rachůnková} et al., Bound. Value Probl. 2013, Paper No. 6, 22 p. (2013; Zbl 1284.34036) Full Text: DOI
Rachůnková, Irena; Spielauer, Alexander; Staněk, Svatoslav; Weinmüller, Ewa B. The structure of a set of positive solutions to Dirichlet BVPs with time and space singularities. (English) Zbl 1264.34036 Georgian Math. J. 20, No. 1, 95-127 (2013). MSC: 34B16 34B18 47N20 PDFBibTeX XMLCite \textit{I. Rachůnková} et al., Georgian Math. J. 20, No. 1, 95--127 (2013; Zbl 1264.34036) Full Text: DOI
Staněk, Svatoslav Properties of maximal solutions of functional-differential equations with state-dependent deviations. (English) Zbl 1226.34057 Funct. Differ. Equ. 16, No. 4, 729-749 (2009). Reviewer: Pat Lumb (Chester) MSC: 34K06 34K05 PDFBibTeX XMLCite \textit{S. Staněk}, Funct. Differ. Equ. 16, No. 4, 729--749 (2009; Zbl 1226.34057)
Staněk, Svatoslav Periodic solutions of autonomous functional-differential equations with state dependent deviations. (English) Zbl 1121.34073 Funkc. Ekvacioj, Ser. Int. 49, No. 1, 87-105 (2006). Reviewer: Zhiming Guo (Guangzhou) MSC: 34K13 PDFBibTeX XMLCite \textit{S. Staněk}, Funkc. Ekvacioj, Ser. Int. 49, No. 1, 87--105 (2006; Zbl 1121.34073) Full Text: DOI
Staněk, Svatoslav An almost-periodicity criterion for solutions of the oscillatory differential equation \(y''=q(t)y\) and its applications. (English) Zbl 1117.34043 Arch. Math., Brno 41, No. 2, 229-241 (2005). Reviewer: Ondřej Došlý (Brno) MSC: 34C27 34A30 PDFBibTeX XMLCite \textit{S. Staněk}, Arch. Math., Brno 41, No. 2, 229--241 (2005; Zbl 1117.34043) Full Text: EuDML EMIS
Staněk, S. A nonlocal boundary value problem with singularities in phase variables. (English) Zbl 1068.34019 Math. Comput. Modelling 40, No. 1-2, 101-116 (2004). Reviewer: Sergei A. Brykalov (Ekaterinburg) MSC: 34B16 34B15 PDFBibTeX XMLCite \textit{S. Staněk}, Math. Comput. Modelling 40, No. 1--2, 101--116 (2004; Zbl 1068.34019) Full Text: DOI
Staněk, S. A nonlocal singular boundary value problem for second-order differential equations. (English) Zbl 1048.34041 Miskolc Math. Notes 5, No. 1, 91-104 (2004). MSC: 34B16 34B15 PDFBibTeX XMLCite \textit{S. Staněk}, Miskolc Math. Notes 5, No. 1, 91--104 (2004; Zbl 1048.34041)
Stanek, S. Two functional boundary-value problems with singularities in phase variables. (English) Zbl 1098.34522 Nelinijni Kolyvannya 5, No. 3, 387-415 (2002). Reviewer: V. V. Vlasov (Moskva) MSC: 34B15 34E99 PDFBibTeX XMLCite \textit{S. Stanek}, Neliniĭni Kolyvannya 5, No. 3, 387--415 (2002; Zbl 1098.34522) Full Text: DOI
Kiguradze, Ivan; Staněk, Svatoslav On periodic boundary value problem for the equation \(u^{\prime\prime} = f(t,u,u^{\prime})\) with one-sided growth restrictions on \(f\). (English) Zbl 1004.34012 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 48, No. 7, 1065-1075 (2002). Reviewer: Ruyun Ma (Lanzhou) MSC: 34B15 PDFBibTeX XMLCite \textit{I. Kiguradze} and \textit{S. Staněk}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 48, No. 7, 1065--1075 (2002; Zbl 1004.34012) Full Text: DOI
Staněk, Svatoslav The degree method for condensing operators in periodic boundary value problems. (English) Zbl 1004.34010 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 48, No. 4, 535-550 (2002). Reviewer: Marco Spadini (Firenze) MSC: 34B15 34C25 47E05 47H11 47N20 PDFBibTeX XMLCite \textit{S. Staněk}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 48, No. 4, 535--550 (2002; Zbl 1004.34010) Full Text: DOI
Staněk, Svatoslav Functional boundary value problems for second-order functional-differential equations of neutral type. (English) Zbl 0991.34056 Glas. Mat., III. Ser. 36, No. 1, 73-84 (2001). Reviewer: Radu Precup (Cluj-Napoca) MSC: 34K10 34K40 34B15 PDFBibTeX XMLCite \textit{S. Staněk}, Glas. Mat., III. Ser. 36, No. 1, 73--84 (2001; Zbl 0991.34056)
Staněk, Svatoslav Boundary value problems for systems of second-order functional differential equations. (English) Zbl 0971.34051 Electron. J. Qual. Theory Differ. Equ. 2000, Suppl., 14 p. (2000). MSC: 34K10 34B15 PDFBibTeX XMLCite \textit{S. Staněk}, Electron. J. Qual. Theory Differ. Equ. 2000, 14 p. (2000; Zbl 0971.34051) Full Text: EMIS
Staněk, Svatoslav Two-point functional boundary value problems without growth restrictions. (English) Zbl 0963.34061 Acta Univ. Palacki. Olomuc., Fac. Rerum Nat., Math. 37, 123-142 (1998). Reviewer: Radu Precup (Cluj-Napoca) MSC: 34K10 34B15 PDFBibTeX XMLCite \textit{S. Staněk}, Acta Univ. Palacki. Olomuc., Fac. Rerum Nat., Math. 37, 123--142 (1998; Zbl 0963.34061) Full Text: EuDML
Staněk, Svatoslav Nonlinear boundary value problem for second-order differential equations depending on a parameter. (English) Zbl 0964.34013 Math. Slovaca 47, No. 4, 439-449 (1997). Reviewer: Michal Greguš (Bratislava) MSC: 34B15 PDFBibTeX XMLCite \textit{S. Staněk}, Math. Slovaca 47, No. 4, 439--449 (1997; Zbl 0964.34013) Full Text: EuDML
Rachůnková, Irena; Staněk, Svatoslav Topological degree method in functional boundary value problems at resonance. (English) Zbl 0853.34062 Nonlinear Anal., Theory Methods Appl. 27, No. 3, 271-285 (1996). Reviewer: N.Parhi (Berhampur) MSC: 34K10 PDFBibTeX XMLCite \textit{I. Rachůnková} and \textit{S. Staněk}, Nonlinear Anal., Theory Methods Appl. 27, No. 3, 271--285 (1996; Zbl 0853.34062) Full Text: DOI
Staněk, Svatoslav Three-point boundary value problem for nonlinear second-order differential equation with parameter. (English) Zbl 0779.34017 Czech. Math. J. 42, No. 2, 241-256 (1992). Reviewer: M.Greguš (Bratislava) MSC: 34B10 PDFBibTeX XMLCite \textit{S. Staněk}, Czech. Math. J. 42, No. 2, 241--256 (1992; Zbl 0779.34017) Full Text: EuDML
Staněk, Svatoslav On a transformation of solutions of the differential equation \(y''=Q(t)y\) with a complex coefficient Q of a real variable. (English) Zbl 0712.34009 Acta Univ. Palacki. Olomuc., Fac. Rerum Nat. 88, Math. 26, 57-83 (1987). Reviewer: H.Ade MSC: 34A30 PDFBibTeX XMLCite \textit{S. Staněk}, Acta Univ. Palacki. Olomuc., Fac. Rerum Nat., Math. 26, 57--83 (1987; Zbl 0712.34009) Full Text: EuDML
Staněk, Svatoslav A phase of the differential equation \(y''=Q(t)y\) with a complex coefficient Q of the real variable. (English) Zbl 0645.34007 Acta Univ. Palacki. Olomuc., Fac. Rerum Nat. 85, Math. 25, 57-75 (1986). Reviewer: S.Staněk MSC: 34A30 34M99 PDFBibTeX XMLCite \textit{S. Staněk}, Acta Univ. Palacki. Olomuc., Fac. Rerum Nat., Math. 25, 57--75 (1986; Zbl 0645.34007) Full Text: EuDML
Staněk, S.; Vosmanský, J. Transformations of linear second order ordinary differential equations. (English) Zbl 0644.34029 Arch. Math., Brno 22, 55-59 (1986). Reviewer: H.Hochstadt MSC: 34C20 34B05 34B99 PDFBibTeX XMLCite \textit{S. Staněk} and \textit{J. Vosmanský}, Arch. Math., Brno 22, 55--59 (1986; Zbl 0644.34029) Full Text: EuDML
Staněk, Svatoslav A note on the oscillation of solutions of the differential equation \(y''+\lambda q(t)y=0\) with an almost periodic coefficient. (English) Zbl 0615.34043 Acta Univ. Palacki. Olomuc., Fac. Rerum Nat. 82, Math. 24, 67-70 (1985). MSC: 34C99 34A30 PDFBibTeX XMLCite \textit{S. Staněk}, Acta Univ. Palacki. Olomuc., Fac. Rerum Nat., Math. 24, 67--70 (1985; Zbl 0615.34043) Full Text: EuDML
Staněk, Svatoslav On the intersection of groups of increasing dispersions in two second order oscillatory differential equations. (English) Zbl 0615.34042 Acta Univ. Palacki. Olomuc., Fac. Rerum Nat. 82, Math. 24, 61-66 (1985). MSC: 34C99 34A30 PDFBibTeX XMLCite \textit{S. Staněk}, Acta Univ. Palacki. Olomuc., Fac. Rerum Nat., Math. 24, 61--66 (1985; Zbl 0615.34042) Full Text: EuDML
Staněk, Svatoslav Common increasing dispersions of certain linear second order differential equations. (English) Zbl 0615.34041 Acta Univ. Palacki. Olomuc., Fac. Rerum Nat. 82, Math. 24, 51-60 (1985). MSC: 34C99 34A30 PDFBibTeX XMLCite \textit{S. Staněk}, Acta Univ. Palacki. Olomuc., Fac. Rerum Nat., Math. 24, 51--60 (1985; Zbl 0615.34041) Full Text: EuDML
Staněk, Svatoslav On the intersection of groups of dispersions of the equation \(y''=q(t)y\) and of its accompanying equation. (English) Zbl 0596.34015 Acta Univ. Palacki. Olomuc., Fac. Rerum Nat. 79, Math. 23, 33-38 (1984). Reviewer: D.Bobrowski MSC: 34C10 PDFBibTeX XMLCite \textit{S. Staněk}, Acta Univ. Palacki. Olomuc., Fac. Rerum Nat., Math. 23, 33--38 (1984; Zbl 0596.34015) Full Text: EuDML
Staněk, Svatoslav On the intersection of the set of solutions of two Kummer’s differential equations. (English) Zbl 0596.34014 Acta Univ. Palacki. Olomuc., Fac. Rerum Nat. 79, Math. 23, 25-32 (1984). Reviewer: D.Bobrowski MSC: 34C10 PDFBibTeX XMLCite \textit{S. Staněk}, Acta Univ. Palacki. Olomuc., Fac. Rerum Nat., Math. 23, 25--32 (1984; Zbl 0596.34014) Full Text: EuDML
Staněk, Svatoslav On properties of derivatives of the basic central dispersion in an oscillatory equation \(y''=q(t)y\) with an almost periodic coefficient q. (English) Zbl 0584.34026 Acta Univ. Palacki. Olomuc., Fac. Rerum Nat. 79, Math. 23, 45-51 (1984). Reviewer: J.E.Rubio MSC: 34C10 PDFBibTeX XMLCite \textit{S. Staněk}, Acta Univ. Palacki. Olomuc., Fac. Rerum Nat., Math. 23, 45--51 (1984; Zbl 0584.34026) Full Text: EuDML
Staněk, Svatoslav On the basic second kind central dispersion of \(y''=q(t)y\) with an almost periodic coefficient q. (English) Zbl 0584.34025 Acta Univ. Palacki. Olomuc., Fac. Rerum Nat. 79, Math. 23, 39-44 (1984). Reviewer: J.E.Rubio MSC: 34C10 PDFBibTeX XMLCite \textit{S. Staněk}, Acta Univ. Palacki. Olomuc., Fac. Rerum Nat., Math. 23, 39--44 (1984; Zbl 0584.34025) Full Text: EuDML
Staněk, Svatoslav On a structure of second order linear differential equations with periodic coefficients having the same discriminant. (English) Zbl 0584.34004 Acta Univ. Palacki. Olomuc., Fac. Rerum Nat., Math. 22, 91-98 (1983). MSC: 34A30 PDFBibTeX XMLCite \textit{S. Staněk}, Acta Univ. Palacki. Olomuc., Fac. Rerum Nat., Math. 22, 91--98 (1983; Zbl 0584.34004) Full Text: EuDML
Staněk, Svatoslav On a certain transformation of the solution set of two linear second order differential equations. (English) Zbl 0555.34029 Acta Univ. Palacki. Olomuc., Fac. Rerum Nat., Math. 22, 81-90 (1983). Reviewer: D.Erle MSC: 34C20 34A30 PDFBibTeX XMLCite \textit{S. Staněk}, Acta Univ. Palacki. Olomuc., Fac. Rerum Nat., Math. 22, 81--90 (1983; Zbl 0555.34029) Full Text: EuDML
Stanek, Svatoslav On an application of the generalized Floquet theory to the transformation of the equation \(y^ n=\)q(t)y into its associated equation. (English) Zbl 0491.34039 Acta Univ. Palacki. Olomuc., Fac. Rerum Nat. 61, Math. 18, 81-92 (1979). MSC: 34C10 34A25 34C20 PDFBibTeX XMLCite \textit{S. Stanek}, Acta Univ. Palacki. Olomuc., Fac. Rerum Nat., Math. 18, 81--92 (1979; Zbl 0491.34039) Full Text: EuDML
Stanek, Svatoslav On the properties of the fundamental dispersions of the equation \(y''=\lambda q(t)y\). (English) Zbl 0438.34023 Acta Univ. Palacki. Olomuc., Fac. Rerum Nat., Math. 18, 51-58 (1979). MSC: 34C10 34C11 PDFBibTeX XMLCite \textit{S. Stanek}, Acta Univ. Palacki. Olomuc., Fac. Rerum Nat., Math. 18, 51--58 (1979; Zbl 0438.34023) Full Text: EuDML
Stanek, Svatoslav On the structure of the second-order periodic linear differential equations with the same characteristic multipliers. (English) Zbl 0426.34008 Acta Univ. Palacki. Olomuc., Fac. Rerum Nat. 57, Math. 17, 53-60 (1978). MSC: 34A30 PDFBibTeX XMLCite \textit{S. Stanek}, Acta Univ. Palacki. Olomuc., Fac. Rerum Nat., Math. 17, 53--60 (1978; Zbl 0426.34008) Full Text: EuDML
Stanek, Svatoslav A criterion for determining the 2nd order linear differential equations possessing the central dispersion with the index n equal to t+pi. (English) Zbl 0412.34020 Acta Univ. Palacki. Olomuc., Fac. Rerum Nat. 53, Math. 16, 75-79 (1977). MSC: 34C10 PDFBibTeX XMLCite \textit{S. Stanek}, Acta Univ. Palacki. Olomuc., Fac. Rerum Nat., Math. 16, 75--79 (1977; Zbl 0412.34020) Full Text: EuDML
Stanek, Svatoslav Integral properties of coefficients of the 2nd order linear differential equations having the same distribution of zeros of solutions. (English) Zbl 0408.34009 Acta Univ. Palack. Olomuc., Fac. Rer. Natur. 53, Math. 16, 69-73 (1977). MSC: 34A30 34A99 PDFBibTeX XMLCite \textit{S. Stanek}, Acta Univ. Palacki. Olomuc., Fac. Rerum Nat., Math. 16, 69--73 (1977; Zbl 0408.34009) Full Text: EuDML