Edit Profile (opens in new tab) Heikkilä, Seppo V. Co-Author Distance Author ID: heikkila.seppo-v Published as: Heikkilä, S.; Heikkilä, Seppo; Heikkila, Seppo; Heikkila, S.; Heikkilae, Seppo; Heikkilä, Seppo Viljami; Heikkilä, Seppo V. more...less External Links: ORCID · ResearchGate Documents Indexed: 176 Publications since 1971, including 3 Books Co-Authors: 24 Co-Authors with 105 Joint Publications 1,691 Co-Co-Authors all top 5 Co-Authors 69 single-authored 41 Carl, Siegfried 19 Seikkala, Seppo 13 Kumpulainen, Martti 12 Lakshmikantham, Vangipuram 11 Cabada, Alberto 4 Dhage, Bapurao C. 3 Agarwal, Ravi P. 3 Leela, Srinivasa G. 3 Ye, Guoju 2 Cid, José Ángel 2 Nieto Roig, Juan Jose 2 Slavík, Antonín 1 Haahti, Heikki 1 Jerome, Joseph W. 1 Jogdand, S. M. 1 Koponen, P. 1 López Pouso, Rodrigo 1 Mooney, John W. 1 O’Regan, Donal 1 Reffett, Kevin L. 1 Roach, Gary Francis 1 Salonen, Hannu 1 Sun, Yong 1 Talvila, Erik all top 5 Serials 21 Journal of Mathematical Analysis and Applications 18 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 17 Nonlinear Studies 17 Nonlinear Analysis. Theory, Methods & Applications 8 Applicable Analysis 7 Dynamic Systems and Applications 6 Differential and Integral Equations 3 Indian Journal of Pure & Applied Mathematics 3 Applied Mathematics and Computation 3 Journal of Differential Equations 3 Journal of Applied Mathematics and Stochastic Analysis 3 Electronic Journal of Differential Equations (EJDE) 3 Journal of Inequalities and Applications 3 The ANZIAM Journal 3 Boundary Value Problems 2 Computers & Mathematics with Applications 2 Funkcialaj Ekvacioj. Serio Internacia 2 Nonlinear Times and Digest 2 Dynamics of Continuous, Discrete and Impulsive Systems 2 Fixed Point Theory and Applications 1 Arkhimedes 1 Revue Roumaine de Mathématiques Pures et Appliquées 1 Annales Academiae Scientiarum Fennicae. Series A I. Mathematica 1 Annales Polonici Mathematici 1 Glasgow Mathematical Journal 1 International Journal of Mathematics and Mathematical Sciences 1 Journal of Computational and Applied Mathematics 1 Mathematische Nachrichten 1 Southeast Asian Bulletin of Mathematics 1 Acta Mathematica Hungarica 1 Mathematical and Computer Modelling 1 Applications of Mathematics 1 Set-Valued Analysis 1 Neural, Parallel & Scientific Computations 1 Nonlinear World 1 Differential Equations and Dynamical Systems 1 Mathematical Sciences Research Hot-Line 1 Acta Mathematica Sinica. English Series 1 International Journal of Applied Mathematics 1 Nonlinear Analysis. Real World Applications 1 Nonlinear Functional Analysis and Applications 1 International Journal of Pure and Applied Mathematics 1 Cubo 1 Pure and Applied Mathematics, Marcel Dekker 1 Chapman & Hall/CRC Monographs and Surveys in Pure and Applied Mathematics 1 Annales Academiae Scientiarum Fennicae. Series A I all top 5 Fields 98 Ordinary differential equations (34-XX) 68 Operator theory (47-XX) 38 Partial differential equations (35-XX) 15 Real functions (26-XX) 13 Functional analysis (46-XX) 12 Integral equations (45-XX) 12 General topology (54-XX) 10 Measure and integration (28-XX) 9 Mathematical logic and foundations (03-XX) 7 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 6 Order, lattices, ordered algebraic structures (06-XX) 6 Numerical analysis (65-XX) 4 Calculus of variations and optimal control; optimization (49-XX) 3 General and overarching topics; collections (00-XX) 2 Global analysis, analysis on manifolds (58-XX) 2 Probability theory and stochastic processes (60-XX) 1 History and biography (01-XX) 1 Difference and functional equations (39-XX) 1 Sequences, series, summability (40-XX) 1 Approximations and expansions (41-XX) 1 Differential geometry (53-XX) 1 Computer science (68-XX) 1 Fluid mechanics (76-XX) 1 Operations research, mathematical programming (90-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 138 Publications have been cited 941 times in 535 Documents Cited by ▼ Year ▼ Monotone iterative techniques for discontinuous nonlinear differential equations. Zbl 0804.34001Heikkilä, Seppo; Lakshmikantham, V. 235 1994 Nonlinear differential equations in ordered spaces. Zbl 0948.34001Carl, S.; Heikkilä, S. 78 2000 Fixed point theory in ordered sets and applications. From differential and integral equations to game theory. Zbl 1209.47001Carl, Siegfried; Heikkilä, Seppo 46 2011 Fixed point theorems and their applications to theory of Nash equilibria. Zbl 1107.47038Heikkilä, S.; Reffett, K. 18 2006 On fixed points of multifunctions in ordered spaces. Zbl 0839.54033Heikkilä, S.; Hu, S. 16 1993 A unified theory for first-order discontinuous scalar differential equations. Zbl 0837.34012Heikkilä, S.; Lakshmikantham, V. 16 1996 On extremal solutions of an elliptic boundary value problem involving discontinuous nonlinearities. Zbl 0785.35034Carl, Siegfried; Heikkilä, Seppo 15 1992 On first order discontinuous differential equations with nonlinear boundary conditions. Zbl 0895.34006Heikkilä, Seppo; Cabada, Alberto 15 1996 On fixed points through a generalized iteration method with applications to differential and integral equations involving discontinuities. Zbl 0696.47052Heikkilä, Seppo 14 1990 Fixed point results in ordered normed spaces with applications to abstract and differential equations. Zbl 0796.47040Heikkilä, Seppo; Lakshmikantham, V.; Sun, Yong 14 1992 On a parabolic boundary value problem with discontinuous nonlinearity. Zbl 0726.35064Carl, Siegfried; Heikkilä, Seppo 13 1990 Applications of monotone techniques to differential equations with discontinuous right hand side. Zbl 0723.34005Heikkilä, Seppo; Lakshmikantham, V.; Leela, S. 12 1988 An existence result for elliptic differential inclusions with discontinuous nonlinearity. Zbl 0755.35039Carl, Siegfried; Heikkilä, Seppo 12 1992 Elliptic equations with discontinuous nonlinearities in \(\mathbb{R}^N\). Zbl 0908.35038Carl, S.; Heikkilä, S. 11 1998 On first order differential equations in ordered Banach spaces. Zbl 0882.34063Heikkilä, S.; Lakshmikantham, V. 11 1994 Elliptic problems with lack of compactness via a new fixed point theorem. Zbl 1508.35010Carl, S.; Heikkilä, S. 11 2002 A method to solve discontinuous boundary value problems. Zbl 1042.35541Heikkilä, Seppo 10 2001 On singular, functional, nonsmooth and implicit phi-Laplacian initial and boundary value problems. Zbl 1083.34003Heikkilä, S.; Seikkala, S. 10 2005 Extremality and comparison results for discontinuous third order functional initial-boundary value problems. Zbl 0976.34009Cabada, A.; Heikkilä, S. 9 2001 Operator and differential equations in ordered spaces. Zbl 0936.47042Carl, S.; Heikkilä, S. 9 1999 On solvability of first order discontinuous scalar differential equations. Zbl 0829.34005Carl, S.; Heikkilä, S.; Kumpulainen, M. 9 1995 Nonlinear elliptic differential inclusions governed by state-dependent subdifferentials. Zbl 0931.35203Carl, S.; Heikkilä, S.; Lakshmikantham, V. 9 1995 Uniqueness, comparison, and existence results for third-order initial boundary value problems. Zbl 0991.34015Cabada, A.; Heikkilä, S. 8 2001 Fixed point theorems in ordered Banach spaces via quasilinearization. Zbl 1215.47045Lakshmikantham, V.; Carl, S.; Heikkilä, S. 8 2009 Uniqueness and existence results for ordinary differential equations. Zbl 1099.34009Cid, J. Ángel; Heikkilä, Seppo; Pouso, Rodrigo López 8 2006 Convergence theorems for HL integrable vector-valued functions with applications. Zbl 1177.28031Heikkilä, S.; Kumpulainen, M.; Seikkala, S. 8 2009 On discontinuous first-order implicit boundary value problems. Zbl 0921.34019Carl, S.; Heikkilä, S. 8 1998 On the quasimonotonicity of linear differential systems. Zbl 0438.34027Heikkila, S. 7 1980 Extremality results for discontinuous explicit and implicit diffusion problems. Zbl 1016.76075Cabada, A.; Heikkilä, S. 7 2002 Extremality and comparison results for discontinuous implicit third order functional initial-boundary value problems. Zbl 1034.34081Cabada, A.; Heikkilä, S. 7 2003 On an elliptic boundary value problem with discontinuous nonlinearity. Zbl 0726.35045Heikkilä, Seppo 7 1990 On functional improper Volterra integral equations and impulsive differential equations in ordered Banach spaces. Zbl 1136.45009Heikkilä, S.; Kumpulainen, M.; Seikkala, S. 7 2008 Uniqueness and existence results for implicit impulsive differential equations. Zbl 0969.34012Heikkilä, S.; Kumpulainen, M.; Seikkala, S. 6 2000 On discontinuous implicit and explicit abstract impulsive boundary value problems. Zbl 0985.34050Carl, S.; Heikkila, S. 6 2000 On the estimation of successive approximations in abstract spaces. Zbl 0349.41024Heikkilä, Seppo; Seikkala, Seppo 6 1977 Uniqueness and comparison results for implicit differential equations. Zbl 0910.34002Heikkilä, S.; Kumpulainen, M.; Seikkala, S. 6 1998 On improper integrals and differential equations in ordered Banach spaces. Zbl 1105.34037Heikkilä, S.; Kumpulainen, M. 6 2006 Extremal solutions of quasilinear parabolic boundary value problems with discontinuous nonlinearities. Zbl 0803.35077Carl, Siegfried; Heikkilä, Seppo 6 1994 Extension of the method of upper and lower solutions for discontinuous differential equations. Zbl 0872.34007Heikkilä, Seppo; Lakshmikantham, V. 6 1993 First order discontinuous implicit differential equations with discontinuous boundary conditions. Zbl 0892.34011Heikkilä, S. 6 1997 Existence results for operator equations in abstract spaces and an application. Zbl 1072.47057Heikkilä, S. 5 2004 Existence of solutions of third-order functional problems with nonlinear boundary conditions. Zbl 1058.34014Cabada, Alberto; Heikkilä, Seppo 5 2004 Fixed point theorems for multifunctions with applications to discontinuous operator and differential equations. Zbl 1063.47052Carl, S.; Heikkilä, S. 5 2004 Inclusion problems in ordered topological vector spaces and applications. Zbl 1070.47051Heikkilä, Seppo 5 2004 On the existence of extremal solutions of phi-Laplacian initial and boundary value problems. Zbl 1069.65084Heikkilä, S.; Seikkala, S. 5 2004 Discontinuous reaction-diffusion equations under discontinuous and nonlocal flux conditions. Zbl 0973.35122Carl, S.; Heikkilä, S. 5 2000 Existence results for implicit functional parabolic problems. Zbl 1029.35123Carl, S.; Heikkilä, S. 5 2002 Existence results for equations in ordered Hilbert spaces and elliptic BVP’s. Zbl 1040.35025Carl, S.; Heikkilä, S. 5 2002 Operator equations in ordered function spaces. Zbl 1065.47066Heikkilä, S. 5 2003 Fixed point theorems for multivalued operators and application to discontinuous quasilinear BVP’s. Zbl 1071.35052Carl, S.; Heikkilä, S. 5 2003 On summability, integrability and impulsive differential equations in Banach spaces. Zbl 1305.46039Heikkilä, Seppo V. 5 2013 On the quasimonotonicity of differential systems. Zbl 0507.34015Heikkila, Seppo 4 1983 On fixed points through iteratively generated chains with applications to differential equations. Zbl 0669.06001Heikkilä, Seppo 4 1989 Differential and integral equations with Henstock-Kurzweil integrable functions. Zbl 1215.34096Heikkilä, S. 4 2011 Operator equations in orderd sets and discontinuous implicit parabolic equations. Zbl 0974.35062Carl, S.; Heikkilä, S. 4 2001 Existence of solutions for discontinuous functional equations and elliptic boundary-value problems. Zbl 1001.35044Carl, Siegfried; Heikkilä, Seppo 4 2002 Existence and comparison results for operator and differential equations in abstract spaces. Zbl 1021.34054Heikkilä, S. 4 2002 Existence results for first order discontinuous differential equations of general form. Zbl 0979.34500Heikkilä, S. 4 1997 Existence results for nonlocal and nonsmooth hemivariational inequalities. Zbl 1155.35049Carl, S.; Heikkilä, S. 4 2006 On the existence of minimal and maximal solutions of discontinuous functional Sturm-Liouville boundary value problems. Zbl 1108.34020Carl, S.; Heikkilä, S. 4 2005 Distributions, their primitives and integrals with applications to distributional differential equations. Zbl 1321.46043Heikkilä, Seppo; Talvila, Erik 4 2013 On nonlinear distributional and impulsive Cauchy problems. Zbl 1238.34017Heikkilä, S. 4 2012 Uniqueness, comparison and existence results for discontinuous implicit differential equations. Zbl 0893.34001Seikkala, S.; Heikkilä, S. 4 1997 On discontinuous implicit evolution equations. Zbl 0909.34050Carl, S.; Heikkilä, S. 4 1998 Existence, uniqueness, and comparison results for a differential equation with discontinuous nonlinearities. Zbl 0858.34003Heikkilä, Seppo; Kumpulainen, Martti; Seikkala, Seppo 4 1996 On a generalized iteration method with applications to fixed point theorems and elliptic systems involving discontinuities. Zbl 0779.35039Carl, Siegfried; Heikkilä, Seppo; Kumpulainen, Martti 4 1993 On chain methods used in fixed point theory. Zbl 0954.47044Heikkilä, S. 3 1999 On first order discontinuous implicit boundary value problems. Zbl 0954.34051Carl, S.; Heikkilä, S.; Koponen, P. 3 1999 On operator and integral equations with discontinuous right-hand side. Zbl 0677.47040Heikkilä, Seppo 3 1989 On differential equations in ordered Banach spaces with applications to differential systems and random equations. Zbl 0721.34071Heikkilä, Seppo 3 1990 On discontinuous functional Volterra integral equations and impulsive differential equations in abstract spaces. Zbl 1074.45008Heikkilä, S.; O’Regan, D. 3 2004 Maximum principles and uniqueness results of phi-Laplacian boundary value problems. Zbl 1002.34008Heikkilä, S.; Seikkala, S. 3 2001 On the solvability of distributional and impulsive systems of Cauchy problems. Zbl 1258.34024Heikkilä, S. 3 2012 Implicit nonlinear discontinuous functional boundary value \(\phi\)-Laplacian problems: Extremality results. Zbl 1041.34010Cabada, Alberto; Heikkilä, Seppo 3 2002 Trapping regions for discontinuously coupled systems of evolution variational inequalities and application. Zbl 1026.35058Carl, S.; Heikkilä, S.; Jerome, J. W. 3 2003 Nonsmooth, nonlocal and implicit differential equations in lattice-ordered Banach spaces. Zbl 1170.34006Carl, S.; Heikkilä, S. 3 2008 Nonsmooth and nonlocal differential equations in lattice-ordered Banach spaces. Zbl 1159.34338Carl, Siegfried; Heikkilä, S. 3 2005 Existence and multiplicity for quasilinear elliptic inclusions with nonmonotone discontinuous multifunction. Zbl 1163.35341Carl, Siegfried; Heikkilä, Seppo 3 2009 Fixed point results and their applications to Markov processes. Zbl 1108.54025Heikkilä, S. 3 2005 Monotone convergence theorems for Henstock-Kurzweil integrable functions and applications. Zbl 1229.26017Heikkilä, S. 3 2011 On summability, multipliability, product integrability, and parallel translation. Zbl 1337.28022Heikkilä, Seppo; Slavík, Antonín 3 2016 Convergence and comparison results for Henstock-Kurzweil and McShane integrable vector-valued functions. Zbl 1240.26025Heikkilä, S.; Ye, Guoju 3 2011 A fixed point lemma with applications. Zbl 0654.47040Heikkilä, Seppo 2 1988 A free boundary problem for quasilinear elliptic equations in exterior domains. Zbl 1005.35091Carl, S.; Heikkilä, S. 2 1998 On the method of iteratively generated chain approximations for equations in function spaces. Zbl 0672.47041Heikkilä, Seppo 2 1988 New algorithms to solve equations and systems in ordered spaces. Zbl 1003.65059Heikkilä, S. 2 2001 On extremal pure Nash equilibria for mixed extensions of normal-form games. Zbl 1142.91012Heikkilä, S. 2 2007 Existence results for implicit functional evolution equations and parabolic IBVP’s. Zbl 1053.34057Carl, S.; Heikkilä, S. 2 2003 \(p\)-Laplacian inclusions via fixed points for multifunctions in posets. Zbl 1166.35388Carl, Siegfried; Heikkilä, Seppo 2 2008 On solvability of implicit functional equations with applications to discontinuous differential equations. Zbl 1103.39023Heikkilä, S. 2 2006 Well-posedness results for Cauchy problems containing non-absolutely integrable vector-valued functions. Zbl 1225.26018Heikkilä, S. 2 2010 Continuous solutions of distributional Cauchy problems. Zbl 1236.46036Heikkila, Seppo 2 2011 Differential equations with non-absolutely integrable functions in ordered Banach spaces. Zbl 1203.34093Heikkilä, S.; Kumpulainen, M. 2 2010 On solvability of mixed monotone operator equations with applications to mixed quasimonotone differential systems involving discontinuities. Zbl 0761.47033Heikkilä, S.; Kumpulainen, M.; Lakshmikantham, V. 2 1992 On the solvability of the second order initial value problems in Banach spaces. Zbl 0757.34054Heikkilä, S.; Leela, S. 2 1992 On second order discontinuous implicit boundary value problems with discontinuous implicit boundary conditions. Zbl 0932.34008Carl, S.; Heikkilä, S. 2 1998 On recursions, iterations and well-orderings. Zbl 0831.04004Heikkilä, S. 2 1995 Monotone methods with applications to nonlinear analysis. Zbl 0846.34009Heikkilä, Seppo 2 1996 On the second order mixed quasimonotone periodic boundary value systems in ordered Banach spaces. Zbl 0785.34043Heikkilä, Seppo; Lakshmikantham, V. 2 1993 On equivalent norms and the contraction mapping principle. Zbl 0562.47043Heikkilä, Seppo; Roach, Gary F. 1 1984 On summability, multipliability, product integrability, and parallel translation. Zbl 1337.28022Heikkilä, Seppo; Slavík, Antonín 3 2016 On summability, integrability and impulsive differential equations in Banach spaces. Zbl 1305.46039Heikkilä, Seppo V. 5 2013 Distributions, their primitives and integrals with applications to distributional differential equations. Zbl 1321.46043Heikkilä, Seppo; Talvila, Erik 4 2013 Monotone convergence theorems for pointwise Henstock-Kurzweil integrable operator-valued functions and applications. Zbl 1308.47058Heikkila, S.; Kumpulainen, M. 1 2013 On nonlinear distributional and impulsive Cauchy problems. Zbl 1238.34017Heikkilä, S. 4 2012 On the solvability of distributional and impulsive systems of Cauchy problems. Zbl 1258.34024Heikkilä, S. 3 2012 Fixed point theory in ordered sets and applications. From differential and integral equations to game theory. Zbl 1209.47001Carl, Siegfried; Heikkilä, Seppo 46 2011 Differential and integral equations with Henstock-Kurzweil integrable functions. Zbl 1215.34096Heikkilä, S. 4 2011 Monotone convergence theorems for Henstock-Kurzweil integrable functions and applications. Zbl 1229.26017Heikkilä, S. 3 2011 Convergence and comparison results for Henstock-Kurzweil and McShane integrable vector-valued functions. Zbl 1240.26025Heikkilä, S.; Ye, Guoju 3 2011 Continuous solutions of distributional Cauchy problems. Zbl 1236.46036Heikkila, Seppo 2 2011 On singular nonlinear distributional and impulsive initial and boundary value problems. Zbl 1276.34007Heikkilä, Seppo 1 2011 Fixed point results for semi-increasing mappings. Zbl 1301.54067Heikkilä, Seppo 1 2011 Well-posedness results for differential and integral equations containing Henstock-Kurzweil integrable vector-valued functions. Zbl 1232.45011Heikkilä, S. 1 2011 Well-posedness results for Cauchy problems containing non-absolutely integrable vector-valued functions. Zbl 1225.26018Heikkilä, S. 2 2010 Differential equations with non-absolutely integrable functions in ordered Banach spaces. Zbl 1203.34093Heikkilä, S.; Kumpulainen, M. 2 2010 Fixed point theorems in ordered Banach spaces via quasilinearization. Zbl 1215.47045Lakshmikantham, V.; Carl, S.; Heikkilä, S. 8 2009 Convergence theorems for HL integrable vector-valued functions with applications. Zbl 1177.28031Heikkilä, S.; Kumpulainen, M.; Seikkala, S. 8 2009 Existence and multiplicity for quasilinear elliptic inclusions with nonmonotone discontinuous multifunction. Zbl 1163.35341Carl, Siegfried; Heikkilä, Seppo 3 2009 Order properties of spaces of non-absolutely integrable vector-valued functions and applications to differential equations. Zbl 1240.26012Carl, S.; Heikkilä, S.; Ye, Guoju 1 2009 On functional improper Volterra integral equations and impulsive differential equations in ordered Banach spaces. Zbl 1136.45009Heikkilä, S.; Kumpulainen, M.; Seikkala, S. 7 2008 Nonsmooth, nonlocal and implicit differential equations in lattice-ordered Banach spaces. Zbl 1170.34006Carl, S.; Heikkilä, S. 3 2008 \(p\)-Laplacian inclusions via fixed points for multifunctions in posets. Zbl 1166.35388Carl, Siegfried; Heikkilä, Seppo 2 2008 On extremal solutions of inclusion problems with applications to game theory. Zbl 1169.47041Heikkilä, S. 1 2008 On extremal pure Nash equilibria for mixed extensions of normal-form games. Zbl 1142.91012Heikkilä, S. 2 2007 Fixed point results for multifunctions in ordered topological spaces with applications to inclusion problems and to game theory. Zbl 1127.47047Heikkilä, S. 1 2007 Fixed point theorems and their applications to theory of Nash equilibria. Zbl 1107.47038Heikkilä, S.; Reffett, K. 18 2006 Uniqueness and existence results for ordinary differential equations. Zbl 1099.34009Cid, J. Ángel; Heikkilä, Seppo; Pouso, Rodrigo López 8 2006 On improper integrals and differential equations in ordered Banach spaces. Zbl 1105.34037Heikkilä, S.; Kumpulainen, M. 6 2006 Existence results for nonlocal and nonsmooth hemivariational inequalities. Zbl 1155.35049Carl, S.; Heikkilä, S. 4 2006 On solvability of implicit functional equations with applications to discontinuous differential equations. Zbl 1103.39023Heikkilä, S. 2 2006 On singular, functional, nonsmooth and implicit phi-Laplacian initial and boundary value problems. Zbl 1083.34003Heikkilä, S.; Seikkala, S. 10 2005 On the existence of minimal and maximal solutions of discontinuous functional Sturm-Liouville boundary value problems. Zbl 1108.34020Carl, S.; Heikkilä, S. 4 2005 Nonsmooth and nonlocal differential equations in lattice-ordered Banach spaces. Zbl 1159.34338Carl, Siegfried; Heikkilä, S. 3 2005 Fixed point results and their applications to Markov processes. Zbl 1108.54025Heikkilä, S. 3 2005 Existence results for operator and differential equations and inclusions. Zbl 1159.35447Heikkilä, S. 1 2005 Existence results for operator equations in abstract spaces and an application. Zbl 1072.47057Heikkilä, S. 5 2004 Existence of solutions of third-order functional problems with nonlinear boundary conditions. Zbl 1058.34014Cabada, Alberto; Heikkilä, Seppo 5 2004 Fixed point theorems for multifunctions with applications to discontinuous operator and differential equations. Zbl 1063.47052Carl, S.; Heikkilä, S. 5 2004 Inclusion problems in ordered topological vector spaces and applications. Zbl 1070.47051Heikkilä, Seppo 5 2004 On the existence of extremal solutions of phi-Laplacian initial and boundary value problems. Zbl 1069.65084Heikkilä, S.; Seikkala, S. 5 2004 On discontinuous functional Volterra integral equations and impulsive differential equations in abstract spaces. Zbl 1074.45008Heikkilä, S.; O’Regan, D. 3 2004 Existence results for operator equations in partially ordered sets and applications. Zbl 1078.47028Heikkilä, S. 1 2004 Extremality and comparison results for discontinuous implicit third order functional initial-boundary value problems. Zbl 1034.34081Cabada, A.; Heikkilä, S. 7 2003 Operator equations in ordered function spaces. Zbl 1065.47066Heikkilä, S. 5 2003 Fixed point theorems for multivalued operators and application to discontinuous quasilinear BVP’s. Zbl 1071.35052Carl, S.; Heikkilä, S. 5 2003 Trapping regions for discontinuously coupled systems of evolution variational inequalities and application. Zbl 1026.35058Carl, S.; Heikkilä, S.; Jerome, J. W. 3 2003 Existence results for implicit functional evolution equations and parabolic IBVP’s. Zbl 1053.34057Carl, S.; Heikkilä, S. 2 2003 On the solvability of first-order discontinuous scalar initial and boundary value problems. Zbl 1041.34004Agarwal, R. P.; Heikkilä, S. 1 2003 Elliptic problems with lack of compactness via a new fixed point theorem. Zbl 1508.35010Carl, S.; Heikkilä, S. 11 2002 Extremality results for discontinuous explicit and implicit diffusion problems. Zbl 1016.76075Cabada, A.; Heikkilä, S. 7 2002 Existence results for implicit functional parabolic problems. Zbl 1029.35123Carl, S.; Heikkilä, S. 5 2002 Existence results for equations in ordered Hilbert spaces and elliptic BVP’s. Zbl 1040.35025Carl, S.; Heikkilä, S. 5 2002 Existence of solutions for discontinuous functional equations and elliptic boundary-value problems. Zbl 1001.35044Carl, Siegfried; Heikkilä, Seppo 4 2002 Existence and comparison results for operator and differential equations in abstract spaces. Zbl 1021.34054Heikkilä, S. 4 2002 Implicit nonlinear discontinuous functional boundary value \(\phi\)-Laplacian problems: Extremality results. Zbl 1041.34010Cabada, Alberto; Heikkilä, Seppo 3 2002 New iterative methods to solve equations and systems in ordered spaces. Zbl 1023.47051Heikkilä, S. 1 2002 Existence results for discontinuous implicit functional Sturm-Liouville boundary value problems. Zbl 1025.34025Heikkilä, S. 1 2002 Uniqueness and well-posedness results for first order initial and boundary value problems. Zbl 1006.34002Agarwal, R. P.; Heikkilä, S. 1 2002 A method to solve discontinuous boundary value problems. Zbl 1042.35541Heikkilä, Seppo 10 2001 Extremality and comparison results for discontinuous third order functional initial-boundary value problems. Zbl 0976.34009Cabada, A.; Heikkilä, S. 9 2001 Uniqueness, comparison, and existence results for third-order initial boundary value problems. Zbl 0991.34015Cabada, A.; Heikkilä, S. 8 2001 Operator equations in orderd sets and discontinuous implicit parabolic equations. Zbl 0974.35062Carl, S.; Heikkilä, S. 4 2001 Maximum principles and uniqueness results of phi-Laplacian boundary value problems. Zbl 1002.34008Heikkilä, S.; Seikkala, S. 3 2001 New algorithms to solve equations and systems in ordered spaces. Zbl 1003.65059Heikkilä, S. 2 2001 On functional differential equations in ordered Banach spaces. Zbl 1001.34069Heikkilä, S. 1 2001 Nonlinear differential equations in ordered spaces. Zbl 0948.34001Carl, S.; Heikkilä, S. 78 2000 Uniqueness and existence results for implicit impulsive differential equations. Zbl 0969.34012Heikkilä, S.; Kumpulainen, M.; Seikkala, S. 6 2000 On discontinuous implicit and explicit abstract impulsive boundary value problems. Zbl 0985.34050Carl, S.; Heikkila, S. 6 2000 Discontinuous reaction-diffusion equations under discontinuous and nonlocal flux conditions. Zbl 0973.35122Carl, S.; Heikkilä, S. 5 2000 Extremality results for first-order discontinuous functional differential equations. Zbl 0960.34053Carl, S.; Heikkilä, S. 1 2000 On well-ordered sets in ordered function spaces. Zbl 0970.46021Heikkilä, S. 1 2000 Operator and differential equations in ordered spaces. Zbl 0936.47042Carl, S.; Heikkilä, S. 9 1999 On chain methods used in fixed point theory. Zbl 0954.47044Heikkilä, S. 3 1999 On first order discontinuous implicit boundary value problems. Zbl 0954.34051Carl, S.; Heikkilä, S.; Koponen, P. 3 1999 On discontinuous implicit differential equations in ordered Banach spaces with discontinuous implicit boundary conditions. Zbl 0981.34051Carl, S.; Heikkilä, S. 1 1999 Elliptic equations with discontinuous nonlinearities in \(\mathbb{R}^N\). Zbl 0908.35038Carl, S.; Heikkilä, S. 11 1998 On discontinuous first-order implicit boundary value problems. Zbl 0921.34019Carl, S.; Heikkilä, S. 8 1998 Uniqueness and comparison results for implicit differential equations. Zbl 0910.34002Heikkilä, S.; Kumpulainen, M.; Seikkala, S. 6 1998 On discontinuous implicit evolution equations. Zbl 0909.34050Carl, S.; Heikkilä, S. 4 1998 A free boundary problem for quasilinear elliptic equations in exterior domains. Zbl 1005.35091Carl, S.; Heikkilä, S. 2 1998 On second order discontinuous implicit boundary value problems with discontinuous implicit boundary conditions. Zbl 0932.34008Carl, S.; Heikkilä, S. 2 1998 Discontinuous implicit elliptic boundary value problems. Zbl 1064.35509Carl, S.; Heikkilä, S. 1 1998 Rapid convergence of approximate solutions for second order nonlinear boundary value problems. Zbl 0976.34016Cabada, Alberto; Nieto, Juan J.; Heikkilä, Seppo 1 1998 Rapid convergence of approximate solutions for first order nonlinear boundary value problems. Zbl 0904.34018Cabada, Alberto; Nieto, Juan J.; Heikkilä, Seppo 1 1998 First order discontinuous implicit differential equations with discontinuous boundary conditions. Zbl 0892.34011Heikkilä, S. 6 1997 Existence results for first order discontinuous differential equations of general form. Zbl 0979.34500Heikkilä, S. 4 1997 Uniqueness, comparison and existence results for discontinuous implicit differential equations. Zbl 0893.34001Seikkala, S.; Heikkilä, S. 4 1997 Applications of a recursion method to game theory. Zbl 0881.90135Heikkilä, S.; Salonen, H. 1 1997 On a second order discontinuous implicit boundary value problem. Zbl 0888.34016Carl, S.; Heikkilä, S. 1 1997 First-order discontinuous differential equations with functional boundary conditions. Zbl 0920.34024Heikkilä, Seppo 1 1997 A unified theory for first-order discontinuous scalar differential equations. Zbl 0837.34012Heikkilä, S.; Lakshmikantham, V. 16 1996 On first order discontinuous differential equations with nonlinear boundary conditions. Zbl 0895.34006Heikkilä, Seppo; Cabada, Alberto 15 1996 Existence, uniqueness, and comparison results for a differential equation with discontinuous nonlinearities. Zbl 0858.34003Heikkilä, Seppo; Kumpulainen, Martti; Seikkala, Seppo 4 1996 Monotone methods with applications to nonlinear analysis. Zbl 0846.34009Heikkilä, Seppo 2 1996 On second order discontinuous scalar boundary value problems. Zbl 0867.34011Heikkilä, S. 1 1996 Applications of a recursion method to maximization problems in partially ordered spaces. Zbl 0865.90136Heikkilä, S. 1 1996 Notes on first order discontinuous differential equations with nonlinear boundary conditions. Zbl 0866.34015Heikkilä, Seppo 1 1996 On solvability of first order discontinuous scalar differential equations. Zbl 0829.34005Carl, S.; Heikkilä, S.; Kumpulainen, M. 9 1995 Nonlinear elliptic differential inclusions governed by state-dependent subdifferentials. Zbl 0931.35203Carl, S.; Heikkilä, S.; Lakshmikantham, V. 9 1995 ...and 38 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 470 Authors 74 Heikkilä, Seppo V. 46 Carl, Siegfried 35 Cabada, Alberto 28 López Pouso, Rodrigo 18 Cid, José Ángel 16 Papageorgiou, Nikolaos S. 15 Dhage, Bapurao C. 14 Le, Vy Khoi 13 Lakshmikantham, Vangipuram 12 Benchohra, Mouffak 12 Nieto Roig, Juan Jose 11 Agarwal, Ravi P. 10 Motreanu, Dumitru 9 Figueroa, Rubén 8 Alves, Claudianor Oliveira 8 Seikkala, Seppo 7 Kelevedjiev, Petio S. 7 Marano, Salvatore Angelo 7 O’Regan, Donal 7 Reffett, Kevin L. 6 Jankowski, Tadeusz 6 Kumpulainen, Martti 6 Rodríguez-López, Jorge 6 Satco, Bianca-Renata 6 Staicu, Vasile 5 Dhage, Shyam B. 5 Eberl, Hermann J. 5 Huang, Nan-Jing 5 Németh, Sándor Zoltán 5 Nguyen Bich Huy 5 Ntouyas, Sotiris K. 5 Otero-Espinar, Victoria 5 Rodríguez-López, Rosana 5 Slavík, Antonín 4 Ahmad, Bashir 4 Fečkan, Michal 4 Gasiński, Leszek 4 Graef, John R. 4 Jerome, Joseph W. 4 Khamsi, Mohamed Amine 4 Minhós, Feliz Manuel 4 Potapov, Dmitriĭ Konstantinovich 4 Precup, Radu 4 Su, Menglong 4 Vivero, Dolores R. 3 Abada, Nadjet 3 Akpan, Edet P. 3 Alfuraidan, Monther Rashed 3 Aouaoui, Sami 3 Ardjouni, Abdelouaheb 3 Battelli, Flaviano 3 Biles, Daniel C. 3 Blouhi, Tayeb 3 Cheng, Yi 3 Cubiotti, Paolo 3 do Rosário Grossinho, Maria 3 Du, Zengji 3 Ferhat, Mohamed 3 Fiacca, Antonella 3 Gaebler, Harry J. 3 Ge, Weigao 3 Grossmann, Christian 3 Halidias, Nikolaos 3 Hammouche, Hadda 3 Lan, Hengyou 3 Li, Yiming 3 Liz, Eduardo 3 Morand, Olivier F. 3 Ôtani, Mitsuharu 3 Ouahab, Abdelghani 3 Pavlenko, Vyacheslav Nikolaevich 3 Santos, Jefferson Abrantes 3 Woźny, Łukasz 3 Xiao, Yibin 2 Abbas, Said 2 Aizicovici, Sergiu 2 Alghanmi, Madeaha 2 Al-saedi, Ahmed Eid Salem 2 Altun, Ishak 2 Arara, Amaria 2 Arutyunov, Aram Vladimirovic 2 Aslanov, Afgan 2 Balbus, Łukasz 2 Beaver, P. 2 Belmekki, Mohammed 2 Ben Amar, Afif 2 Benahmed, Boubakeur 2 Bertone, Ana Maria 2 Bin Dehaish, Buthinah Abdullatif 2 Canright, David 2 Cardinali, Tiziana 2 Chen, Ren-Chuen 2 Cichoń, Mieczysław 2 Cui, Yi-shun 2 Cui, Yujun 2 Datta, Manjira 2 Djoudi, Ahcene 2 dos Santos, Jefferson A. 2 Dziewulski, Paweł 2 Fang, Yaping ...and 370 more Authors all top 5 Cited in 132 Serials 81 Nonlinear Analysis. 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