Edit Profile (opens in new tab) Freiling, Gerhard Co-Author Distance Author ID: freiling.gerhard Published as: Freiling, G.; Freiling, Gerhard Homepage: https://www.uni-due.de/mathematik/agdierkes/freiling.php External Links: MGP · Math-Net.Ru · dblp · GND Documents Indexed: 105 Publications since 1973, including 4 Books Co-Authors: 29 Co-Authors with 83 Joint Publications 502 Co-Co-Authors all top 5 Co-Authors 22 single-authored 27 Yurko, Vjacheslav Anatoljevich 14 Jank, Gerhard 12 Eberhard, Walter 9 Abou-Kandil, Hisham 6 Annaby, Mahmoud H. 6 Hochhaus, Andreas 4 Ionescu, Vlad 3 Buterin, Sergey Alexandrovich 3 Drăgan, Vasile 3 Rykhlov, Viktor S. 2 Bondarenko, Natalia P. 2 Damm, Tobias 2 Ignat’ev, Mikhail Yur’evich 2 Morozan, Toader 1 Chernozhukova, A. 1 Efremova, Liubov S. 1 Galkin, G. 1 Kaufmann, Franz-Josef 1 Lee, Seungrae 1 Mazur, Tomasz 1 Mehrmann, Volker 1 Soliman, I. A. 1 Trooshin, Igor Yu. 1 Urazboev, Gayrat U. 1 Vietri, M. 1 Wilcken-Stoeber, Kerstin 1 Xu, Hongguo 1 Zayed, Ahmed I. 1 Zettl, Anton all top 5 Serials 13 Results in Mathematics 8 Mathematische Zeitschrift 6 Mathematische Nachrichten 5 Applicable Analysis 5 Inverse Problems 4 Differential and Integral Equations 4 Linear Algebra and its Applications 4 European Journal of Control 3 IEEE Transactions on Automatic Control 3 Zeitschrift für Analysis und ihre Anwendungen 3 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 2 International Journal of Mathematics and Mathematical Sciences 2 Tamkang Journal of Mathematics 2 Journal of Inverse and Ill-Posed Problems 1 Archive for Rational Mechanics and Analysis 1 Computers & Mathematics with Applications 1 Journal of Mathematical Analysis and Applications 1 Letters in Mathematical Physics 1 Mathematical Methods in the Applied Sciences 1 Zeitschrift für Angewandte Mathematik und Mechanik (ZAMM) 1 Chaos, Solitons and Fractals 1 Automatica 1 Integral Equations and Operator Theory 1 Journal of Differential Equations 1 Journal of Optimization Theory and Applications 1 Journal für die Reine und Angewandte Mathematik 1 Systems & Control Letters 1 Analysis 1 IMA Journal of Mathematical Control and Information 1 Applied Mathematics Letters 1 SIAM Journal on Matrix Analysis and Applications 1 Journal of Integral Equations and Applications 1 Dynamic Systems and Applications 1 Electronic Journal of Differential Equations (EJDE) 1 Methods of Functional Analysis and Topology 1 Far East Journal of Applied Mathematics 1 Analysis (München) 1 Journal of Dynamical and Control Systems 1 Far East Journal of Mathematical Sciences 1 Journal of the Australian Mathematical Society 1 Mathematical Reports 1 Central European Journal of Mathematics 1 Inverse Problems in Science and Engineering 1 Journal of Applied Functional Analysis 1 Systems & Control: Foundations & Applications 1 Advances in Dynamical Systems and Applications 1 Eurasian Mathematical Journal all top 5 Fields 85 Ordinary differential equations (34-XX) 25 Operator theory (47-XX) 12 Systems theory; control (93-XX) 8 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 7 Linear and multilinear algebra; matrix theory (15-XX) 6 Calculus of variations and optimal control; optimization (49-XX) 5 Difference and functional equations (39-XX) 5 Numerical analysis (65-XX) 5 Information and communication theory, circuits (94-XX) 4 Partial differential equations (35-XX) 4 Approximations and expansions (41-XX) 3 Harmonic analysis on Euclidean spaces (42-XX) 2 Functions of a complex variable (30-XX) 2 Dynamical systems and ergodic theory (37-XX) 2 Integral transforms, operational calculus (44-XX) 2 Probability theory and stochastic processes (60-XX) 1 Potential theory (31-XX) 1 Special functions (33-XX) 1 Astronomy and astrophysics (85-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 88 Publications have been cited 1,388 times in 957 Documents Cited by ▼ Year ▼ Inverse Sturm-Liouville problems and their applications. Zbl 1037.34005Freiling, G.; Yurko, V. 362 2001 Matrix Riccati equations in control and systems theory. Zbl 1027.93001Abou-Kandil, Hisham; Freiling, Gerhard; Ionescu, Vlad; Jank, Gerhard 201 2003 Inverse problems for Sturm-Liouville differential operators with a constant delay. Zbl 1257.34056Freiling, G.; Yurko, V. A. 45 2012 Inverse problems for Sturm-Liouville equations with boundary conditions polynomially dependent on the spectral parameter. Zbl 1207.47039Freiling, G.; Yurko, V. A. 45 2010 Solution and asymptotic behavior of coupled Riccati equations in jump linear systems. Zbl 0925.93387Abou-Kandil, H.; Freiling, G.; Jank, G. 43 1994 A survey of nonsymmetric Riccati equations. Zbl 1008.34004Freiling, Gerhard 29 2002 A uniqueness theorem for the boundary value problems with non-linear dependence on the spectral parameter in the boundary conditions. Zbl 1187.34016Chernozhukova, A.; Freiling, G. 28 2009 On the solution of discrete-time Markovian jump linear quadratic control problems. Zbl 0822.93074Abou-Kandil, H.; Freiling, G.; Jank, G. 26 1995 Properties of the solutions of rational matrix difference equations. Zbl 1055.39033Freiling, G.; Hochhaus, A. 26 2003 On a class of rational matrix differential equations arising in stochastic control. Zbl 1070.34054Freiling, G.; Hochhaus, A. 25 2004 On global existence of solutions to coupled matrix Riccati equations in closed-loop Nash games. Zbl 0845.90137Freiling, G.; Jank, G.; Abou-Kandil, H. 24 1996 Inverse spectral problems for singular non-selfadjoint differential operators with discontinuities in an interior point. Zbl 1012.34083Freiling, Gerhard; Yurko, Vjacheslav 24 2002 Existence, uniqueness, and parametrization of Lagrangian invariant subspaces. Zbl 1029.65044Freiling, Gerhard; Mehrmann, Volker; Xu, Hongguo 23 2002 Inverse problems for differential equations with turning points. Zbl 0910.34023Freiling, G.; Yurko, V. 19 1997 Existence and uniqueness of open-loop Stackelberg equilibria in linear-quadratic differential games. Zbl 0989.49027Freiling, G.; Jank, G.; Lee, S. R. 18 2001 Existence and comparison theorems for algebraic Riccati equations and Riccati differential and difference equations. Zbl 0979.93091Freiling, G.; Jank, G. 16 1996 Necessary conditions for constant solutions of coupled Riccati equations in Nash games. Zbl 0805.90133Abou-Kandil, H.; Freiling, G.; Jank, G. 13 1993 Discontinuous boundary-value problems: expansion and sampling theorems. Zbl 1089.34014Annaby, M. H.; Freiling, G.; Zayed, A. I. 13 2004 On the distribution of the eigenvalues of a class of indefinite eigenvalue problems. Zbl 0736.34071Eberhard, W.; Freiling, G.; Schneider, A. 13 1990 Inverse problems for Sturm-Liouville operators on noncompact trees. Zbl 1136.34009Freiling, Gerhard; Yurko, Vjacheslav 13 2006 Sampling expansions associated with Kamke problems. Zbl 1112.34306Annaby, M. H.; Freiling, G. 12 2000 Generalized Riccati difference and differential equations. Zbl 0856.34003Freiling, G.; Jank, G.; Abou-Kandil, H. 12 1996 Inverse problems for differential operators on trees with general matching conditions. Zbl 1130.34005Freiling, G.; Yurko, V. 12 2007 Inverse problems for differential operators with singular boundary conditions. Zbl 1090.34007Freiling, Gerhard; Yurko, Vjacheslav 12 2005 Das Verhalten der Greenschen Matrix und der Entwicklungen nach Eigenfunktionen N-regulärer Eigenwertprobleme. Zbl 0265.34033Eberhard, Walter; Freiling, Gerhard 12 1974 Connection formulas for second order differential equations with a complex parameter and having an arbitrary number of turning points. Zbl 0829.34044Eberhard, W.; Freiling, G.; Schneider, A. 11 1994 Non-blow-up conditions for Riccati-type matrix differential and difference equations. Zbl 0964.34005Freiling, G.; Jank, G.; Sarychev, A. 11 2000 Zur Vollständigkeit des Systems der Eigenfunktionen und Hauptfunktionen irregulärer Operatorbüschel. Zbl 0538.47004Freiling, Gerhard 11 1984 Time-varying discrete Riccati equation: Some monotonicity results. Zbl 0939.93022Freiling, Gerhard; Ionescu, Vlad 11 1999 Nicht-S-hermitesche Rand- und Eigenwertprobleme. Zbl 0255.34007Eberhard, Walter; Freiling, Gerhard 11 1973 Non-symmetric matrix Riccati equations. Zbl 0821.34011Freiling, G.; Jank, G. 10 1995 A sampling theorem for transforms with discontinuous kernels. Zbl 1080.34065Annaby, Mahmoud; Freiling, Gerhard 10 2004 Inverse spectral problems for differential equations on the half-line with turning points. Zbl 0931.34058Freiling, G.; Yurko, V. 10 1999 Stone-reguläre Eigenwertprobleme. Zbl 0363.34021Freiling, Gerhard; Eberhard, Walter 9 1978 Inverse nodal problems for differential operators on graphs with a cycle. Zbl 1216.34014Freiling, G.; Yurko, V. A. 9 2010 The distribution of the eigenvalues for second order eigenvalue problems in the presence of an arbitrary number of turning points. Zbl 0777.34055Eberhard, W.; Freiling, G. 9 1992 Irregular boundary value problems revisited. Zbl 1266.34001Freiling, Gerhard 7 2012 On the solvability of an inverse problem in the central symmetric case. Zbl 1237.34020Freiling, G.; Yurko, V. A. 7 2011 Reguläre Eigenwertprobleme mit Mehrpunkt-Integral-Randbedingungen. Zbl 0432.34013Freiling, Gerhard 7 1980 Differential equations with positive evolutions and some applications. Zbl 1117.34053Dragan, Vasile; Damm, Tobias; Freiling, Gerhard; Morozan, Toader 7 2005 Reconstructing parameters of a medium from incomplete spectral information. Zbl 0927.34009Freiling, G.; Yurko, V. 7 1999 Recovering nonselfadjoint differential pencils with nonseparated boundary conditions. Zbl 1331.34024Freiling, G.; Yurko, V. 7 2015 On the determination of differential equations with singularities and turning points. Zbl 1039.34008Freiling, G.; Yurko, V. 7 2002 An expansion theorem for eigenvalue problems with several turning points. Zbl 0788.34080Eberhard, Walter; Freiling, Gerhard 6 1993 Sampling integrodifferential transforms arising from second order differential operators. Zbl 0983.34009Annaby, Mahmoud H.; Freiling, Gerhard 6 2000 Coupled matrix Riccati equations in minimal cost variance control problems. Zbl 0986.93072Freiling, G.; Lee, S.-R.; Jank, G. 6 1999 On the dependence of the solutions of algebraic and differential game Riccati equations on the parameter \(\mu\). Zbl 0858.90150Freiling, G.; Jank, G.; Lee, Seung-Rae; Abou-Kandil, H. 6 1996 An inverse problem for the non-selfadjoint matrix Sturm-Liouville equation on the half-line. Zbl 1142.34006Freiling, G.; Yurko, V. 6 2007 Boundary value problems with regular singularities and singular boundary conditions. Zbl 1093.34049Freiling, G.; Yurko, V. 6 2005 An inverse spectral problem for Sturm-Liouville operators with singular potentials on star-type graphs. Zbl 1159.34007Freiling, G.; Ignatiev, M.; Yurko, V. 6 2008 Lectures on differential equations of mathematical physics: a first course. Zbl 1234.35001Freiling, Gerhard; Yurko, Vjatcheslav 5 2008 Monotonicity and convexity properties of matrix Riccati equations. Zbl 0978.93055Freiling, Gerhard; Ionescu, Vlad 5 2001 General boundary eigenvalue problems for systems of differential equations with multiple roots of the characteristic equation. Zbl 0643.34022Freiling, Gerhard 5 1988 Irregular multipoint eigenvalue problems. Zbl 0447.34027Freiling, G. 5 1981 A class of nonlinear differential equations on the space of symmetric matrices. Zbl 1053.34006Dragan, Vasile; Freiling, Gerhard; Hochhaus, Andreas; Morozan, Toader 5 2004 Sturm–Liouville problems with singular non-selfadjoint boundary conditions. Zbl 1090.34021Eberhard, Walter; Freiling, Gerhard; Zettl, Anton 5 2005 On constructing differential equations with singularities from incomplete spectral information. Zbl 0912.34017Freiling, G.; Yurko, V. 5 1998 Expansion theorems for a class of regular indefinite eigenvalue problems. Zbl 0736.34072Eberhard, W.; Freiling, G.; Schneider, A. 5 1990 Inverse spectral-scattering problem for the Sturm-Liouville operator on a noncompact star-type graph. Zbl 1292.34011Buterin, Sergey A.; Freiling, G. 5 2013 Integration of the matrix KdV equation with self-consistent source. Zbl 1287.37049Bondarenko, N.; Freiling, G.; Urazboev, G. 5 2013 Expansion problems with irregular multipoint boundary conditions. Zbl 0498.34009Freiling, Gerhard 4 1981 Discrete-time Riccati equations in open-loop Nash and Stackelberg games. Zbl 1093.91505Freiling, G.; Jank, G.; Abou-Kandil, H. 4 1999 Boundary value problems associated with multiple roots of the characteristic equation. Zbl 0612.34020Freiling, Gerhard 4 1987 On the completeness and minimality of the derived chains of eigen- and associated functions of boundary eigenvalue problems nonlinearly dependant on the parameter. Zbl 0667.34029Freiling, Gerhard 4 1988 An inverse problem for the quadratic pencil of non-self-adjoint matrix operators on the half-line. Zbl 1302.34026Bondarenko, Natalia; Freiling, Gerhard 4 2014 Indefinite eigenvalue problems with several singular points and turning points. Zbl 0996.34067Eberhard, Walter; Freiling, Gerhard; Wilcken-Stoeber, Kerstin 4 2001 Spectral analysis for an indefinite singular Sturm–Lioville problem. Zbl 1033.34036Freiling, G.; Rykhlov, V.; Yurko, V. 4 2002 Nonsymmetric matrix Riccati equations. Zbl 0808.34008Freiling, G.; Jank, G. 3 1994 On a general class of Birkhoff-regular eigenvalue problems. Zbl 0837.34081Freiling, G.; Rykhlov, V. 3 1995 Spectral analysis for the Sturm-Liouville operator on Sun-type graphs. Zbl 1251.34022Freiling, Gerhard; Ignatyev, Mikhail 3 2011 Necessary conditions for the \(L_ 2\)-convergence of series in eigenfunctions of irregular eigenvalue problems. Zbl 0603.34019Freiling, Gerhard 3 1986 Convergence and existence results for continuous- and discrete-time Riccati equations. Zbl 1042.34020Freiling, G.; Hochhaus, A. 3 2002 On the behaviour of eigenfunction expansions in the complex domain. Zbl 0626.34018Freiling, Gerhard 2 1986 On the completeness of eigenfunctions and associated functions of irregular multipoint eigenvalue-problems. Zbl 0514.34014Freiling, G. 2 1984 On uniform and \(L^ p\)-convergence of eigenfunction expansions for indefinite eigenvalue problems. Zbl 0692.34019Freiling, G.; Kaufmann, F. J. 2 1990 Multiple expansions in series of eigen- and associated functions of boundary eigenvalue problems nonlinearly dependent on the spectral parameter. I. Zbl 0702.34069Freiling, Gerhard 2 1990 Abel-summability of eigenfunction expansions of three-point boundary value problems. Zbl 0909.34071Freiling, Gerhard; Trooshin, Igor Yu. 2 1998 Nonsymmetric discrete-time difference and algebraic Riccati equations: Some representation formulae and comments. Zbl 0947.39002Freiling, G.; Ionescu, V. 2 1999 Necessary conditions for the uniform convergence and Abel-summability of eigenfunction expansions with irregular ordinary differential bundles. Zbl 0657.34024Freiling, G. 2 1986 Numerical solution of inverse spectral problems for Sturm-Liouville operators with discontinuous potentials. Zbl 1285.31002Efremova, Liubov S.; Freiling, Gerhard 2 2013 Half-range expansions for an astrophysical problem. Zbl 1031.34029Freiling, G.; Vietri, M.; Yurko, V. 2 2003 Expansion theorems for boundary value problems with a singularity. Zbl 0922.34010Freiling, G.; Yurko, V. 2 1998 Zur Vollständigkeit des Systems der Eigenfunktionen irregulärer Eigenwertprobleme mit \(\lambda\)-abhängigen Randbedingungen. Zbl 0536.34016Freiling, G. 1 1984 Multiple expansions in series of eigen- and associated functions of boundary eigenvalue problems nonlinearly dependent on the spectral parameter. II. Zbl 0727.34073Freiling, Gerhard 1 1990 Sampling theorems associated with differential operators iterated from lower order ones. Zbl 1133.94305Annaby, M. H.; Freiling, G.; Soliman, I. A. 1 2006 Lyapunov iterations for coupled Riccati differential equations arising in connection with Nash differential games. Zbl 1150.91005Drăgan, Vasile; Damm, Tobias; Freiling, Gerhard 1 2007 Necessary conditions for the convergence and summability of eigenfunction expansions in the complex domain. Zbl 0738.34042Eberhard, W.; Freiling, G. 1 1991 Discussion on: “An algorithm for solving a perturbed algebraic Riccati equation”. Zbl 1293.93778Freiling, G. 1 2004 Recovering nonselfadjoint differential pencils with nonseparated boundary conditions. Zbl 1331.34024Freiling, G.; Yurko, V. 7 2015 An inverse problem for the quadratic pencil of non-self-adjoint matrix operators on the half-line. Zbl 1302.34026Bondarenko, Natalia; Freiling, Gerhard 4 2014 Inverse spectral-scattering problem for the Sturm-Liouville operator on a noncompact star-type graph. Zbl 1292.34011Buterin, Sergey A.; Freiling, G. 5 2013 Integration of the matrix KdV equation with self-consistent source. Zbl 1287.37049Bondarenko, N.; Freiling, G.; Urazboev, G. 5 2013 Numerical solution of inverse spectral problems for Sturm-Liouville operators with discontinuous potentials. Zbl 1285.31002Efremova, Liubov S.; Freiling, Gerhard 2 2013 Inverse problems for Sturm-Liouville differential operators with a constant delay. Zbl 1257.34056Freiling, G.; Yurko, V. A. 45 2012 Irregular boundary value problems revisited. Zbl 1266.34001Freiling, Gerhard 7 2012 On the solvability of an inverse problem in the central symmetric case. Zbl 1237.34020Freiling, G.; Yurko, V. A. 7 2011 Spectral analysis for the Sturm-Liouville operator on Sun-type graphs. Zbl 1251.34022Freiling, Gerhard; Ignatyev, Mikhail 3 2011 Inverse problems for Sturm-Liouville equations with boundary conditions polynomially dependent on the spectral parameter. Zbl 1207.47039Freiling, G.; Yurko, V. A. 45 2010 Inverse nodal problems for differential operators on graphs with a cycle. Zbl 1216.34014Freiling, G.; Yurko, V. A. 9 2010 A uniqueness theorem for the boundary value problems with non-linear dependence on the spectral parameter in the boundary conditions. Zbl 1187.34016Chernozhukova, A.; Freiling, G. 28 2009 An inverse spectral problem for Sturm-Liouville operators with singular potentials on star-type graphs. Zbl 1159.34007Freiling, G.; Ignatiev, M.; Yurko, V. 6 2008 Lectures on differential equations of mathematical physics: a first course. Zbl 1234.35001Freiling, Gerhard; Yurko, Vjatcheslav 5 2008 Inverse problems for differential operators on trees with general matching conditions. Zbl 1130.34005Freiling, G.; Yurko, V. 12 2007 An inverse problem for the non-selfadjoint matrix Sturm-Liouville equation on the half-line. Zbl 1142.34006Freiling, G.; Yurko, V. 6 2007 Lyapunov iterations for coupled Riccati differential equations arising in connection with Nash differential games. Zbl 1150.91005Drăgan, Vasile; Damm, Tobias; Freiling, Gerhard 1 2007 Inverse problems for Sturm-Liouville operators on noncompact trees. Zbl 1136.34009Freiling, Gerhard; Yurko, Vjacheslav 13 2006 Sampling theorems associated with differential operators iterated from lower order ones. Zbl 1133.94305Annaby, M. H.; Freiling, G.; Soliman, I. A. 1 2006 Inverse problems for differential operators with singular boundary conditions. Zbl 1090.34007Freiling, Gerhard; Yurko, Vjacheslav 12 2005 Differential equations with positive evolutions and some applications. Zbl 1117.34053Dragan, Vasile; Damm, Tobias; Freiling, Gerhard; Morozan, Toader 7 2005 Boundary value problems with regular singularities and singular boundary conditions. Zbl 1093.34049Freiling, G.; Yurko, V. 6 2005 Sturm–Liouville problems with singular non-selfadjoint boundary conditions. Zbl 1090.34021Eberhard, Walter; Freiling, Gerhard; Zettl, Anton 5 2005 On a class of rational matrix differential equations arising in stochastic control. Zbl 1070.34054Freiling, G.; Hochhaus, A. 25 2004 Discontinuous boundary-value problems: expansion and sampling theorems. Zbl 1089.34014Annaby, M. H.; Freiling, G.; Zayed, A. I. 13 2004 A sampling theorem for transforms with discontinuous kernels. Zbl 1080.34065Annaby, Mahmoud; Freiling, Gerhard 10 2004 A class of nonlinear differential equations on the space of symmetric matrices. Zbl 1053.34006Dragan, Vasile; Freiling, Gerhard; Hochhaus, Andreas; Morozan, Toader 5 2004 Discussion on: “An algorithm for solving a perturbed algebraic Riccati equation”. Zbl 1293.93778Freiling, G. 1 2004 Matrix Riccati equations in control and systems theory. Zbl 1027.93001Abou-Kandil, Hisham; Freiling, Gerhard; Ionescu, Vlad; Jank, Gerhard 201 2003 Properties of the solutions of rational matrix difference equations. Zbl 1055.39033Freiling, G.; Hochhaus, A. 26 2003 Half-range expansions for an astrophysical problem. Zbl 1031.34029Freiling, G.; Vietri, M.; Yurko, V. 2 2003 A survey of nonsymmetric Riccati equations. Zbl 1008.34004Freiling, Gerhard 29 2002 Inverse spectral problems for singular non-selfadjoint differential operators with discontinuities in an interior point. Zbl 1012.34083Freiling, Gerhard; Yurko, Vjacheslav 24 2002 Existence, uniqueness, and parametrization of Lagrangian invariant subspaces. Zbl 1029.65044Freiling, Gerhard; Mehrmann, Volker; Xu, Hongguo 23 2002 On the determination of differential equations with singularities and turning points. Zbl 1039.34008Freiling, G.; Yurko, V. 7 2002 Spectral analysis for an indefinite singular Sturm–Lioville problem. Zbl 1033.34036Freiling, G.; Rykhlov, V.; Yurko, V. 4 2002 Convergence and existence results for continuous- and discrete-time Riccati equations. Zbl 1042.34020Freiling, G.; Hochhaus, A. 3 2002 Inverse Sturm-Liouville problems and their applications. Zbl 1037.34005Freiling, G.; Yurko, V. 362 2001 Existence and uniqueness of open-loop Stackelberg equilibria in linear-quadratic differential games. Zbl 0989.49027Freiling, G.; Jank, G.; Lee, S. R. 18 2001 Monotonicity and convexity properties of matrix Riccati equations. Zbl 0978.93055Freiling, Gerhard; Ionescu, Vlad 5 2001 Indefinite eigenvalue problems with several singular points and turning points. Zbl 0996.34067Eberhard, Walter; Freiling, Gerhard; Wilcken-Stoeber, Kerstin 4 2001 Sampling expansions associated with Kamke problems. Zbl 1112.34306Annaby, M. H.; Freiling, G. 12 2000 Non-blow-up conditions for Riccati-type matrix differential and difference equations. Zbl 0964.34005Freiling, G.; Jank, G.; Sarychev, A. 11 2000 Sampling integrodifferential transforms arising from second order differential operators. Zbl 0983.34009Annaby, Mahmoud H.; Freiling, Gerhard 6 2000 Time-varying discrete Riccati equation: Some monotonicity results. Zbl 0939.93022Freiling, Gerhard; Ionescu, Vlad 11 1999 Inverse spectral problems for differential equations on the half-line with turning points. Zbl 0931.34058Freiling, G.; Yurko, V. 10 1999 Reconstructing parameters of a medium from incomplete spectral information. Zbl 0927.34009Freiling, G.; Yurko, V. 7 1999 Coupled matrix Riccati equations in minimal cost variance control problems. Zbl 0986.93072Freiling, G.; Lee, S.-R.; Jank, G. 6 1999 Discrete-time Riccati equations in open-loop Nash and Stackelberg games. Zbl 1093.91505Freiling, G.; Jank, G.; Abou-Kandil, H. 4 1999 Nonsymmetric discrete-time difference and algebraic Riccati equations: Some representation formulae and comments. Zbl 0947.39002Freiling, G.; Ionescu, V. 2 1999 On constructing differential equations with singularities from incomplete spectral information. Zbl 0912.34017Freiling, G.; Yurko, V. 5 1998 Abel-summability of eigenfunction expansions of three-point boundary value problems. Zbl 0909.34071Freiling, Gerhard; Trooshin, Igor Yu. 2 1998 Expansion theorems for boundary value problems with a singularity. Zbl 0922.34010Freiling, G.; Yurko, V. 2 1998 Inverse problems for differential equations with turning points. Zbl 0910.34023Freiling, G.; Yurko, V. 19 1997 On global existence of solutions to coupled matrix Riccati equations in closed-loop Nash games. Zbl 0845.90137Freiling, G.; Jank, G.; Abou-Kandil, H. 24 1996 Existence and comparison theorems for algebraic Riccati equations and Riccati differential and difference equations. Zbl 0979.93091Freiling, G.; Jank, G. 16 1996 Generalized Riccati difference and differential equations. Zbl 0856.34003Freiling, G.; Jank, G.; Abou-Kandil, H. 12 1996 On the dependence of the solutions of algebraic and differential game Riccati equations on the parameter \(\mu\). Zbl 0858.90150Freiling, G.; Jank, G.; Lee, Seung-Rae; Abou-Kandil, H. 6 1996 On the solution of discrete-time Markovian jump linear quadratic control problems. Zbl 0822.93074Abou-Kandil, H.; Freiling, G.; Jank, G. 26 1995 Non-symmetric matrix Riccati equations. Zbl 0821.34011Freiling, G.; Jank, G. 10 1995 On a general class of Birkhoff-regular eigenvalue problems. Zbl 0837.34081Freiling, G.; Rykhlov, V. 3 1995 Solution and asymptotic behavior of coupled Riccati equations in jump linear systems. Zbl 0925.93387Abou-Kandil, H.; Freiling, G.; Jank, G. 43 1994 Connection formulas for second order differential equations with a complex parameter and having an arbitrary number of turning points. Zbl 0829.34044Eberhard, W.; Freiling, G.; Schneider, A. 11 1994 Nonsymmetric matrix Riccati equations. Zbl 0808.34008Freiling, G.; Jank, G. 3 1994 Necessary conditions for constant solutions of coupled Riccati equations in Nash games. Zbl 0805.90133Abou-Kandil, H.; Freiling, G.; Jank, G. 13 1993 An expansion theorem for eigenvalue problems with several turning points. Zbl 0788.34080Eberhard, Walter; Freiling, Gerhard 6 1993 The distribution of the eigenvalues for second order eigenvalue problems in the presence of an arbitrary number of turning points. Zbl 0777.34055Eberhard, W.; Freiling, G. 9 1992 Necessary conditions for the convergence and summability of eigenfunction expansions in the complex domain. Zbl 0738.34042Eberhard, W.; Freiling, G. 1 1991 On the distribution of the eigenvalues of a class of indefinite eigenvalue problems. Zbl 0736.34071Eberhard, W.; Freiling, G.; Schneider, A. 13 1990 Expansion theorems for a class of regular indefinite eigenvalue problems. Zbl 0736.34072Eberhard, W.; Freiling, G.; Schneider, A. 5 1990 On uniform and \(L^ p\)-convergence of eigenfunction expansions for indefinite eigenvalue problems. Zbl 0692.34019Freiling, G.; Kaufmann, F. J. 2 1990 Multiple expansions in series of eigen- and associated functions of boundary eigenvalue problems nonlinearly dependent on the spectral parameter. I. Zbl 0702.34069Freiling, Gerhard 2 1990 Multiple expansions in series of eigen- and associated functions of boundary eigenvalue problems nonlinearly dependent on the spectral parameter. II. Zbl 0727.34073Freiling, Gerhard 1 1990 General boundary eigenvalue problems for systems of differential equations with multiple roots of the characteristic equation. Zbl 0643.34022Freiling, Gerhard 5 1988 On the completeness and minimality of the derived chains of eigen- and associated functions of boundary eigenvalue problems nonlinearly dependant on the parameter. Zbl 0667.34029Freiling, Gerhard 4 1988 Boundary value problems associated with multiple roots of the characteristic equation. Zbl 0612.34020Freiling, Gerhard 4 1987 Necessary conditions for the \(L_ 2\)-convergence of series in eigenfunctions of irregular eigenvalue problems. Zbl 0603.34019Freiling, Gerhard 3 1986 On the behaviour of eigenfunction expansions in the complex domain. Zbl 0626.34018Freiling, Gerhard 2 1986 Necessary conditions for the uniform convergence and Abel-summability of eigenfunction expansions with irregular ordinary differential bundles. Zbl 0657.34024Freiling, G. 2 1986 Zur Vollständigkeit des Systems der Eigenfunktionen und Hauptfunktionen irregulärer Operatorbüschel. Zbl 0538.47004Freiling, Gerhard 11 1984 On the completeness of eigenfunctions and associated functions of irregular multipoint eigenvalue-problems. Zbl 0514.34014Freiling, G. 2 1984 Zur Vollständigkeit des Systems der Eigenfunktionen irregulärer Eigenwertprobleme mit \(\lambda\)-abhängigen Randbedingungen. Zbl 0536.34016Freiling, G. 1 1984 Irregular multipoint eigenvalue problems. Zbl 0447.34027Freiling, G. 5 1981 Expansion problems with irregular multipoint boundary conditions. Zbl 0498.34009Freiling, Gerhard 4 1981 Reguläre Eigenwertprobleme mit Mehrpunkt-Integral-Randbedingungen. Zbl 0432.34013Freiling, Gerhard 7 1980 Stone-reguläre Eigenwertprobleme. Zbl 0363.34021Freiling, Gerhard; Eberhard, Walter 9 1978 Das Verhalten der Greenschen Matrix und der Entwicklungen nach Eigenfunktionen N-regulärer Eigenwertprobleme. Zbl 0265.34033Eberhard, Walter; Freiling, Gerhard 12 1974 Nicht-S-hermitesche Rand- und Eigenwertprobleme. Zbl 0255.34007Eberhard, Walter; Freiling, Gerhard 11 1973 all cited Publications top 5 cited Publications all top 5 Cited by 863 Authors 71 Yurko, Vjacheslav Anatoljevich 65 Yang, Chuanfu 52 Freiling, Gerhard 47 Bondarenko, Natalia P. 35 Buterin, Sergey Alexandrovich 20 Shieh, Chung-Tsun 20 Wang, Yuping 19 Drăgan, Vasile 19 Wei, Guangsheng 18 Xu, Xiaochuan 14 Ivanov, Ivan Ganchev 14 Jank, Gerhard 13 Annaby, Mahmoud H. 13 Mosazadeh, Seyfollah 12 Mehrmann, Volker 11 Keskin, Baki 10 Ozkan, Ahmet Sinan 9 Engwerda, Jacob Christiaan 8 Akhtyamov, Azamat Moukhtarovich 8 Amirov, Rauf Kh. 8 Benner, Peter 8 Eberhard, Walter 8 Ferrante, Augusto 8 Guo, Yongxia 8 Khalili, Yasser 8 Koyunbakan, Hikmet 8 Mena, Hermann 8 Vladičić, Vladimir 7 Abou-Kandil, Hisham 7 Daudé, Thierry 7 Del Moral, Pierre 7 Jbilou, Khalide 7 Kuznetsova, Mariya Andreevna 7 Nicoleau, François 7 Sat, Murat 7 Vũ Ngoc Phát 6 Aberkane, Samir 6 Chiu, Mei Choi 6 do Val, João B. R. 6 Morozan, Toader 6 Pikula, Milenko 6 Wong, Hoi Ying 5 Adalar, Ibrahim 5 Avdonin, Sergeĭ Anatol’evich 5 Çetinkaya, Fatma Ayça 5 Đurić, Nebojša 5 Hu, Yiteng 5 Jungers, Marc 5 Lewis, Frank Leroy 5 Liu, Jianzhou 5 Moon, Jun-Hee 5 Neamaty, Abdolali 5 Vamvoudakis, Kyriakos G. 5 Watson, Bruce Alastair 5 Yao, Ruoxia 5 Zhang, Huanshui 5 Zhang, Juan 4 Akbarfam, Aliasghar Jodayree 4 Akçay, Özge 4 Aksikas, Ilyasse 4 Băleanu, Dumitru I. 4 Binding, Paul Anthony 4 Bishop, Adrian N. 4 Boumenir, Amin A. 4 Costa, Oswaldo Luiz V. 4 El-Raheem, Zaki F. A. 4 Guan, Shengyu 4 Heiland, Jan 4 Kuo, Yueh-Cheng 4 Mukaidani, Hiroaki 4 Niamsup, Piyapong 4 Ntogramatzidis, Lorenzo 4 Pinasco, Juan Pablo 4 Rodman, Leiba X. 4 Sacks, Paul E. 4 Sadovnichiĭ, Viktor Antonovich 4 Savchuk, Artem M. 4 Shen, Yang 4 Shieh, Shih-Feng 4 Shkalikov, Andreĭ Andreevich 4 Stillfjord, Tony 4 Sultanaev, Yaudat Talgatovich 4 Vasil’ev, Sergeĭ Vladimirovich 4 Vojvodic, Biljana M. 4 Wang, Bingchang 4 Wei, Zhaoying 4 Wu, Xuewen 4 Xu, Jianhong 4 Yılmaz, Emrah Sercan 3 Akbarpoor, Shahrbanoo 3 Ao, Jijun 3 Azevedo-Perdicoúlis, Teresa Paula 3 Bensoussan, Alain 3 Blanes, Sergio 3 Boukas, El-Kébir 3 Browne, Patrick J. 3 Chen, Tongwen 3 D’Alessandro, Domenico 3 Damm, Tobias 3 Fan, Hung-Yuan ...and 763 more Authors all top 5 Cited in 241 Serials 53 Results in Mathematics 50 Automatica 34 Journal of Mathematical Analysis and Applications 32 Journal of Inverse and Ill-Posed Problems 28 Linear Algebra and its Applications 26 Journal of Differential Equations 25 Applied Mathematics and Computation 23 Inverse Problems in Science and Engineering 21 Boundary Value Problems 19 Journal of the Franklin Institute 19 Journal of Computational and Applied Mathematics 17 Applied Mathematics Letters 16 International Journal of Control 16 Analysis and Mathematical Physics 15 Differential Equations 14 Journal of Optimization Theory and Applications 14 European Journal of Control 13 SIAM Journal on Control and Optimization 13 Turkish Journal of Mathematics 12 Applicable Analysis 11 Mathematical Notes 10 Inverse Problems 10 Systems & Control Letters 9 Mathematische Zeitschrift 8 Journal of Mathematical Physics 8 Journal of Mathematical Sciences (New York) 8 Doklady Mathematics 8 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 8 Izvestiya Saratovskogo Universiteta. 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Mathematics of Control, Signals, and Systems 4 Computational and Applied Mathematics 4 Inverse Problems and Imaging 4 Dynamic Games and Applications 3 International Journal of Systems Science 3 Linear and Multilinear Algebra 3 Ukrainian Mathematical Journal 3 Integral Equations and Operator Theory 3 Journal of Functional Analysis 3 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 3 Proceedings of the American Mathematical Society 3 Siberian Mathematical Journal 3 Insurance Mathematics & Economics 3 Bulletin of the Iranian Mathematical Society 3 SIAM Journal on Matrix Analysis and Applications 3 Journal of Scientific Computing 3 Journal of Integral Equations and Applications 3 European Journal of Operational Research 3 International Journal of Computer Mathematics 3 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 3 Russian Journal of Mathematical Physics 3 Filomat 3 Boletín de la Sociedad Matemática Mexicana. Third Series 3 Mathematical Problems in Engineering 3 Taiwanese Journal of Mathematics 3 Communications in Nonlinear Science and Numerical Simulation 3 Journal of Dynamical and Control Systems 3 Nonlinear Analysis. Real World Applications 3 Central European Journal of Mathematics 3 Sarajevo Journal of Mathematics 3 Proceedings of the Steklov Institute of Mathematics 3 Complex Analysis and Operator Theory 3 Nonlinear Analysis. Hybrid Systems 3 SIAM Journal on Financial Mathematics 3 Caspian Journal of Mathematical Sciences 3 Journal of Function Spaces 3 Computational Methods for Differential Equations 3 Open Mathematics 2 Reports on Mathematical Physics 2 Theoretical and Mathematical Physics 2 Chaos, Solitons and Fractals 2 Applied Mathematics and Optimization 2 Tamkang Journal of Mathematics 2 Transactions of the American Mathematical Society 2 Stochastic Analysis and Applications 2 Physica D 2 Journal of Economic Dynamics & Control 2 Mathematical and Computer Modelling 2 Japan Journal of Industrial and Applied Mathematics 2 The Annals of Applied Probability 2 International Journal of Robust and Nonlinear Control 2 Numerical Linear Algebra with Applications 2 Advances in Applied Clifford Algebras 2 Journal of Difference Equations and Applications ...and 141 more Serials all top 5 Cited in 44 Fields 535 Ordinary differential equations (34-XX) 220 Systems theory; control (93-XX) 195 Operator theory (47-XX) 118 Numerical analysis (65-XX) 112 Calculus of variations and optimal control; optimization (49-XX) 106 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 82 Linear and multilinear algebra; matrix theory (15-XX) 67 Probability theory and stochastic processes (60-XX) 61 Partial differential equations (35-XX) 30 Integral equations (45-XX) 22 Quantum theory (81-XX) 20 Information and communication theory, circuits (94-XX) 19 Difference and functional equations (39-XX) 16 Operations research, mathematical programming (90-XX) 14 Dynamical systems and ergodic theory (37-XX) 12 Statistics (62-XX) 9 Integral transforms, operational calculus (44-XX) 9 Biology and other natural sciences (92-XX) 8 Combinatorics (05-XX) 8 Fluid mechanics (76-XX) 7 Harmonic analysis on Euclidean spaces (42-XX) 7 Global analysis, analysis on manifolds (58-XX) 7 Computer science (68-XX) 5 Real functions (26-XX) 5 Special functions (33-XX) 5 Approximations and expansions (41-XX) 5 Functional analysis (46-XX) 5 Mechanics of particles and systems (70-XX) 5 Statistical mechanics, structure of matter (82-XX) 4 Relativity and gravitational theory (83-XX) 3 Potential theory (31-XX) 3 Differential geometry (53-XX) 3 Mechanics of deformable solids (74-XX) 3 Optics, electromagnetic theory (78-XX) 2 Measure and integration (28-XX) 2 Functions of a complex variable (30-XX) 2 Sequences, series, summability (40-XX) 1 General and overarching topics; collections (00-XX) 1 History and biography (01-XX) 1 Number theory (11-XX) 1 Commutative algebra (13-XX) 1 Group theory and generalizations (20-XX) 1 Convex and discrete geometry (52-XX) 1 Geophysics (86-XX) Citations by Year