×

zbMATH — the first resource for mathematics

Heikkilä, Seppo V.

Compute Distance To:
Author ID: heikkila.seppo-v Recent zbMATH articles by "Heikkilä, Seppo V."
Published as: Heikkilä, S.; Heikkilä, Seppo; Heikkila, Seppo; Heikkila, S.; Heikkilae, Seppo; Heikkilä, Seppo V.
External Links: ORCID · ResearchGate
Documents Indexed: 173 Publications since 1971, including 3 Books
all top 5

Serials

21 Journal of Mathematical Analysis and Applications
18 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
17 Nonlinear Analysis. Theory, Methods & Applications
15 Nonlinear Studies
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 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 Journal of Differential Equations
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

Publications by Year

Citations contained in zbMATH Open

136 Publications have been cited 873 times in 490 Documents Cited by Year
Monotone iterative techniques for discontinuous nonlinear differential equations. Zbl 0804.34001
Heikkilä, Seppo; Lakshmikantham, V.
207
1994
Nonlinear differential equations in ordered spaces. Zbl 0948.34001
Carl, S.; Heikkilä, S.
73
2000
Fixed point theory in ordered sets and applications. From differential and integral equations to game theory. Zbl 1209.47001
Carl, Siegfried; Heikkilä, Seppo
36
2011
Fixed point theorems and their applications to theory of Nash equilibria. Zbl 1107.47038
Heikkilä, S.; Reffett, K.
17
2006
On fixed points of multifunctions in ordered spaces. Zbl 0839.54033
Heikkilä, S.; Hu, S.
16
1993
On extremal solutions of an elliptic boundary value problem involving discontinuous nonlinearities. Zbl 0785.35034
Carl, Siegfried; Heikkilä, Seppo
15
1992
On first order discontinuous differential equations with nonlinear boundary conditions. Zbl 0895.34006
Heikkilä, Seppo; Cabada, Alberto
14
1996
A unified theory for first-order discontinuous scalar differential equations. Zbl 0837.34012
Heikkilä, S.; Lakshmikantham, V.
14
1996
Fixed point results in ordered normed spaces with applications to abstract and differential equations. Zbl 0796.47040
Heikkilä, Seppo; Lakshmikantham, V.; Sun, Yong
13
1992
An existence result for elliptic differential inclusions with discontinuous nonlinearity. Zbl 0755.35039
Carl, Siegfried; Heikkilä, Seppo
12
1992
On fixed points through a generalized iteration method with applications to differential and integral equations involving discontinuities. Zbl 0696.47052
Heikkilä, Seppo
12
1990
Applications of monotone techniques to differential equations with discontinuous right hand side. Zbl 0723.34005
Heikkilä, Seppo; Lakshmikantham, V.; Leela, S.
12
1988
On a parabolic boundary value problem with discontinuous nonlinearity. Zbl 0726.35064
Carl, Siegfried; Heikkilä, Seppo
11
1990
On first order differential equations in ordered Banach spaces. Zbl 0882.34063
Heikkilä, S.; Lakshmikantham, V.
10
1994
On singular, functional, nonsmooth and implicit phi-Laplacian initial and boundary value problems. Zbl 1083.34003
Heikkilä, S.; Seikkala, S.
10
2005
Elliptic equations with discontinuous nonlinearities in \(\mathbb{R}^N\). Zbl 0908.35038
Carl, S.; Heikkilä, S.
9
1998
On solvability of first order discontinuous scalar differential equations. Zbl 0829.34005
Carl, S.; Heikkilä, S.; Kumpulainen, M.
9
1995
Nonlinear elliptic differential inclusions governed by state-dependent subdifferentials. Zbl 0931.35203
Carl, S.; Heikkilä, S.; Lakshmikantham, V.
9
1995
Operator and differential equations in ordered spaces. Zbl 0936.47042
Carl, S.; Heikkilä, S.
9
1999
Extremality and comparison results for discontinuous third order functional initial-boundary value problems. Zbl 0976.34009
Cabada, A.; Heikkilä, S.
9
2001
A method to solve discontinuous boundary value problems. Zbl 1042.35541
Heikkilä, Seppo
9
2001
On discontinuous first-order implicit boundary value problems. Zbl 0921.34019
Carl, S.; Heikkilä, S.
8
1998
Uniqueness, comparison, and existence results for third-order initial boundary value problems. Zbl 0991.34015
Cabada, A.; Heikkilä, S.
8
2001
Convergence theorems for HL integrable vector-valued functions with applications. Zbl 1177.28031
Heikkilä, S.; Kumpulainen, M.; Seikkala, S.
8
2009
Extremality and comparison results for discontinuous implicit third order functional initial-boundary value problems. Zbl 1034.34081
Cabada, A.; Heikkilä, S.
7
2003
On the quasimonotonicity of linear differential systems. Zbl 0438.34027
Heikkila, S.
7
1980
On functional improper Volterra integral equations and impulsive differential equations in ordered Banach spaces. Zbl 1136.45009
Heikkilä, S.; Kumpulainen, M.; Seikkala, S.
7
2008
Fixed point theorems in ordered Banach spaces via quasilinearization. Zbl 1215.47045
Lakshmikantham, V.; Carl, S.; Heikkilä, S.
7
2009
Extremality results for discontinuous explicit and implicit diffusion problems. Zbl 1016.76075
Cabada, A.; Heikkilä, S.
7
2002
On an elliptic boundary value problem with discontinuous nonlinearity. Zbl 0726.35045
Heikkilä, Seppo
7
1990
Uniqueness and comparison results for implicit differential equations. Zbl 0910.34002
Heikkilä, S.; Kumpulainen, M.; Seikkala, S.
6
1998
Uniqueness and existence results for ordinary differential equations. Zbl 1099.34009
Cid, J. Ángel; Heikkilä, Seppo; Pouso, Rodrigo López
6
2006
On improper integrals and differential equations in ordered Banach spaces. Zbl 1105.34037
Heikkilä, S.; Kumpulainen, M.
6
2006
Extension of the method of upper and lower solutions for discontinuous differential equations. Zbl 0872.34007
Heikkilä, Seppo; Lakshmikantham, V.
6
1993
First order discontinuous implicit differential equations with discontinuous boundary conditions. Zbl 0892.34011
Heikkilä, S.
6
1997
Extremal solutions of quasilinear parabolic boundary value problems with discontinuous nonlinearities. Zbl 0803.35077
Carl, Siegfried; Heikkilä, Seppo
6
1994
Uniqueness and existence results for implicit impulsive differential equations. Zbl 0969.34012
Heikkilä, S.; Kumpulainen, M.; Seikkala, S.
6
2000
On discontinuous implicit and explicit abstract impulsive boundary value problems. Zbl 0985.34050
Carl, S.; Heikkila, S.
6
2000
On the estimation of successive approximations in abstract spaces. Zbl 0349.41024
Heikkilä, Seppo; Seikkala, Seppo
6
1977
On summability, integrability and impulsive differential equations in Banach spaces. Zbl 1305.46039
Heikkilä, Seppo V.
5
2013
Existence results for implicit functional parabolic problems. Zbl 1029.35123
Carl, S.; Heikkilä, S.
5
2002
Discontinuous reaction-diffusion equations under discontinuous and nonlocal flux conditions. Zbl 0973.35122
Carl, S.; Heikkilä, S.
5
2000
On the existence of extremal solutions of phi-Laplacian initial and boundary value problems. Zbl 1069.65084
Heikkilä, S.; Seikkala, S.
5
2004
Fixed point theorems for multivalued operators and application to discontinuous quasilinear BVP’s. Zbl 1071.35052
Carl, S.; Heikkilä, S.
5
2003
Existence results for operator equations in abstract spaces and an application. Zbl 1072.47057
Heikkilä, S.
5
2004
Existence of solutions of third-order functional problems with nonlinear boundary conditions. Zbl 1058.34014
Cabada, Alberto; Heikkilä, Seppo
5
2004
Fixed point theorems for multifunctions with applications to discontinuous operator and differential equations. Zbl 1063.47052
Carl, S.; Heikkilä, S.
5
2004
Inclusion problems in ordered topological vector spaces and applications. Zbl 1070.47051
Heikkilä, Seppo
5
2004
On fixed points through iteratively generated chains with applications to differential equations. Zbl 0669.06001
Heikkilä, Seppo
4
1989
On the quasimonotonicity of differential systems. Zbl 0507.34015
Heikkila, Seppo
4
1983
Existence and comparison results for operator and differential equations in abstract spaces. Zbl 1021.34054
Heikkilä, S.
4
2002
Existence results for equations in ordered Hilbert spaces and elliptic BVP’s. Zbl 1040.35025
Carl, S.; Heikkilä, S.
4
2002
On the existence of minimal and maximal solutions of discontinuous functional Sturm-Liouville boundary value problems. Zbl 1108.34020
Carl, S.; Heikkilä, S.
4
2005
On a generalized iteration method with applications to fixed point theorems and elliptic systems involving discontinuities. Zbl 0779.35039
Carl, Siegfried; Heikkilä, Seppo; Kumpulainen, Martti
4
1993
Uniqueness, comparison and existence results for discontinuous implicit differential equations. Zbl 0893.34001
Seikkala, S.; Heikkilä, S.
4
1997
Existence of solutions for discontinuous functional equations and elliptic boundary-value problems. Zbl 1001.35044
Carl, Siegfried; Heikkilä, Seppo
4
2002
Operator equations in orderd sets and discontinuous implicit parabolic equations. Zbl 0974.35062
Carl, S.; Heikkilä, S.
4
2001
Operator equations in ordered function spaces. Zbl 1065.47066
Heikkilä, S.
4
2003
Differential and integral equations with Henstock-Kurzweil integrable functions. Zbl 1215.34096
Heikkilä, S.
4
2011
On nonlinear distributional and impulsive Cauchy problems. Zbl 1238.34017
Heikkilä, S.
4
2012
Distributions, their primitives and integrals with applications to distributional differential equations. Zbl 1321.46043
Heikkilä, Seppo; Talvila, Erik
4
2013
On operator and integral equations with discontinuous right-hand side. Zbl 0677.47040
Heikkilä, Seppo
3
1989
Implicit nonlinear discontinuous functional boundary value \(\phi\)-Laplacian problems: Extremality results. Zbl 1041.34010
Cabada, Alberto; Heikkilä, Seppo
3
2002
Trapping regions for discontinuously coupled systems of evolution variational inequalities and application. Zbl 1026.35058
Carl, S.; Heikkilä, S.; Jerome, J. W.
3
2003
Existence results for first order discontinuous differential equations of general form. Zbl 0979.34500
Heikkilä, S.
3
1997
On discontinuous implicit evolution equations. Zbl 0909.34050
Carl, S.; Heikkilä, S.
3
1998
Nonsmooth, nonlocal and implicit differential equations in lattice-ordered Banach spaces. Zbl 1170.34006
Carl, S.; Heikkilä, S.
3
2008
Nonsmooth and nonlocal differential equations in lattice-ordered Banach spaces. Zbl 1159.34338
Carl, Siegfried; Heikkilä, S.
3
2005
Existence results for nonlocal and nonsmooth hemivariational inequalities. Zbl 1155.35049
Carl, S.; Heikkilä, S.
3
2006
Monotone convergence theorems for Henstock-Kurzweil integrable functions and applications. Zbl 1229.26017
Heikkilä, S.
3
2011
Existence and multiplicity for quasilinear elliptic inclusions with nonmonotone discontinuous multifunction. Zbl 1163.35341
Carl, Siegfried; Heikkilä, Seppo
3
2009
Maximum principles and uniqueness results of phi-Laplacian boundary value problems. Zbl 1002.34008
Heikkilä, S.; Seikkala, S.
3
2001
Existence, uniqueness, and comparison results for a differential equation with discontinuous nonlinearities. Zbl 0858.34003
Heikkilä, Seppo; Kumpulainen, Martti; Seikkala, Seppo
3
1996
On chain methods used in fixed point theory. Zbl 0954.47044
Heikkilä, S.
3
1999
On first order discontinuous implicit boundary value problems. Zbl 0954.34051
Carl, S.; Heikkilä, S.; Koponen, P.
3
1999
On discontinuous functional Volterra integral equations and impulsive differential equations in abstract spaces. Zbl 1074.45008
Heikkilä, S.; O’Regan, D.
3
2004
On the solvability of distributional and impulsive systems of Cauchy problems. Zbl 1258.34024
Heikkilä, S.
3
2012
Convergence and comparison results for Henstock-Kurzweil and McShane integrable vector-valued functions. Zbl 1240.26025
Heikkilä, S.; Ye, Guoju
3
2011
On summability, multipliability, product integrability, and parallel translation. Zbl 1337.28022
Heikkilä, Seppo; Slavík, Antonín
3
2016
On differential equations in ordered Banach spaces with applications to differential systems and random equations. Zbl 0721.34071
Heikkilä, Seppo
3
1990
A fixed point lemma with applications. Zbl 0654.47040
Heikkilä, Seppo
2
1988
On solvability of mixed monotone operator equations with applications to mixed quasimonotone differential systems involving discontinuities. Zbl 0761.47033
Heikkilä, S.; Kumpulainen, M.; Lakshmikantham, V.
2
1992
On the solvability of the second order initial value problems in Banach spaces. Zbl 0757.34054
Heikkilä, S.; Leela, S.
2
1992
On extremal pure Nash equilibria for mixed extensions of normal-form games. Zbl 1142.91012
Heikkilä, S.
2
2007
On the method of iteratively generated chain approximations for equations in function spaces. Zbl 0672.47041
Heikkilä, Seppo
2
1988
Differential equations with non-absolutely integrable functions in ordered Banach spaces. Zbl 1203.34093
Heikkilä, S.; Kumpulainen, M.
2
2010
Fixed point results and their applications to Markov processes. Zbl 1108.54025
Heikkilä, S.
2
2005
On solvability of implicit functional equations with applications to discontinuous differential equations. Zbl 1103.39023
Heikkilä, S.
2
2006
On the second order mixed quasimonotone periodic boundary value systems in ordered Banach spaces. Zbl 0785.34043
Heikkilä, Seppo; Lakshmikantham, V.
2
1993
New algorithms to solve equations and systems in ordered spaces. Zbl 1003.65059
Heikkilä, S.
2
2001
On recursions, iterations and well-orderings. Zbl 0831.04004
Heikkilä, S.
2
1995
Monotone methods with applications to nonlinear analysis. Zbl 0846.34009
Heikkilä, Seppo
2
1996
On second order discontinuous implicit boundary value problems with discontinuous implicit boundary conditions. Zbl 0932.34008
Carl, S.; Heikkilä, S.
2
1998
Existence results for implicit functional evolution equations and parabolic IBVP’s. Zbl 1053.34057
Carl, S.; Heikkilä, S.
2
2003
Well-posedness results for Cauchy problems containing non-absolutely integrable vector-valued functions. Zbl 1225.26018
Heikkilä, S.
2
2010
\(p\)-Laplacian inclusions via fixed points for multifunctions in posets. Zbl 1166.35388
Carl, Siegfried; Heikkilä, Seppo
2
2008
Continuous solutions of distributional Cauchy problems. Zbl 1236.46036
Heikkila, Seppo
2
2011
On equivalent norms and the contraction mapping principle. Zbl 0562.47043
Heikkilä, Seppo; Roach, Gary F.
1
1984
New iterative methods to solve equations and systems in ordered spaces. Zbl 1023.47051
Heikkilä, S.
1
2002
Existence results for discontinuous implicit functional Sturm-Liouville boundary value problems. Zbl 1025.34025
Heikkilä, S.
1
2002
On summability, multipliability, product integrability, and parallel translation. Zbl 1337.28022
Heikkilä, Seppo; Slavík, Antonín
3
2016
On summability, integrability and impulsive differential equations in Banach spaces. Zbl 1305.46039
Heikkilä, Seppo V.
5
2013
Distributions, their primitives and integrals with applications to distributional differential equations. Zbl 1321.46043
Heikkilä, Seppo; Talvila, Erik
4
2013
Monotone convergence theorems for pointwise Henstock-Kurzweil integrable operator-valued functions and applications. Zbl 1308.47058
Heikkila, S.; Kumpulainen, M.
1
2013
On nonlinear distributional and impulsive Cauchy problems. Zbl 1238.34017
Heikkilä, S.
4
2012
On the solvability of distributional and impulsive systems of Cauchy problems. Zbl 1258.34024
Heikkilä, S.
3
2012
Fixed point theory in ordered sets and applications. From differential and integral equations to game theory. Zbl 1209.47001
Carl, Siegfried; Heikkilä, Seppo
36
2011
Differential and integral equations with Henstock-Kurzweil integrable functions. Zbl 1215.34096
Heikkilä, S.
4
2011
Monotone convergence theorems for Henstock-Kurzweil integrable functions and applications. Zbl 1229.26017
Heikkilä, S.
3
2011
Convergence and comparison results for Henstock-Kurzweil and McShane integrable vector-valued functions. Zbl 1240.26025
Heikkilä, S.; Ye, Guoju
3
2011
Continuous solutions of distributional Cauchy problems. Zbl 1236.46036
Heikkila, Seppo
2
2011
Well-posedness results for differential and integral equations containing Henstock-Kurzweil integrable vector-valued functions. Zbl 1232.45011
Heikkilä, S.
1
2011
On singular nonlinear distributional and impulsive initial and boundary value problems. Zbl 1276.34007
Heikkilä, Seppo
1
2011
Differential equations with non-absolutely integrable functions in ordered Banach spaces. Zbl 1203.34093
Heikkilä, S.; Kumpulainen, M.
2
2010
Well-posedness results for Cauchy problems containing non-absolutely integrable vector-valued functions. Zbl 1225.26018
Heikkilä, S.
2
2010
Convergence theorems for HL integrable vector-valued functions with applications. Zbl 1177.28031
Heikkilä, S.; Kumpulainen, M.; Seikkala, S.
8
2009
Fixed point theorems in ordered Banach spaces via quasilinearization. Zbl 1215.47045
Lakshmikantham, V.; Carl, S.; Heikkilä, S.
7
2009
Existence and multiplicity for quasilinear elliptic inclusions with nonmonotone discontinuous multifunction. Zbl 1163.35341
Carl, Siegfried; Heikkilä, Seppo
3
2009
Order properties of spaces of non-absolutely integrable vector-valued functions and applications to differential equations. Zbl 1240.26012
Carl, S.; Heikkilä, S.; Ye, Guoju
1
2009
On functional improper Volterra integral equations and impulsive differential equations in ordered Banach spaces. Zbl 1136.45009
Heikkilä, S.; Kumpulainen, M.; Seikkala, S.
7
2008
Nonsmooth, nonlocal and implicit differential equations in lattice-ordered Banach spaces. Zbl 1170.34006
Carl, S.; Heikkilä, S.
3
2008
\(p\)-Laplacian inclusions via fixed points for multifunctions in posets. Zbl 1166.35388
Carl, Siegfried; Heikkilä, Seppo
2
2008
On extremal solutions of inclusion problems with applications to game theory. Zbl 1169.47041
Heikkilä, S.
1
2008
On extremal pure Nash equilibria for mixed extensions of normal-form games. Zbl 1142.91012
Heikkilä, S.
2
2007
Fixed point results for multifunctions in ordered topological spaces with applications to inclusion problems and to game theory. Zbl 1127.47047
Heikkilä, S.
1
2007
Fixed point theorems and their applications to theory of Nash equilibria. Zbl 1107.47038
Heikkilä, S.; Reffett, K.
17
2006
Uniqueness and existence results for ordinary differential equations. Zbl 1099.34009
Cid, J. Ángel; Heikkilä, Seppo; Pouso, Rodrigo López
6
2006
On improper integrals and differential equations in ordered Banach spaces. Zbl 1105.34037
Heikkilä, S.; Kumpulainen, M.
6
2006
Existence results for nonlocal and nonsmooth hemivariational inequalities. Zbl 1155.35049
Carl, S.; Heikkilä, S.
3
2006
On solvability of implicit functional equations with applications to discontinuous differential equations. Zbl 1103.39023
Heikkilä, S.
2
2006
On singular, functional, nonsmooth and implicit phi-Laplacian initial and boundary value problems. Zbl 1083.34003
Heikkilä, S.; Seikkala, S.
10
2005
On the existence of minimal and maximal solutions of discontinuous functional Sturm-Liouville boundary value problems. Zbl 1108.34020
Carl, S.; Heikkilä, S.
4
2005
Nonsmooth and nonlocal differential equations in lattice-ordered Banach spaces. Zbl 1159.34338
Carl, Siegfried; Heikkilä, S.
3
2005
Fixed point results and their applications to Markov processes. Zbl 1108.54025
Heikkilä, S.
2
2005
Existence results for operator and differential equations and inclusions. Zbl 1159.35447
Heikkilä, S.
1
2005
On the existence of extremal solutions of phi-Laplacian initial and boundary value problems. Zbl 1069.65084
Heikkilä, S.; Seikkala, S.
5
2004
Existence results for operator equations in abstract spaces and an application. Zbl 1072.47057
Heikkilä, S.
5
2004
Existence of solutions of third-order functional problems with nonlinear boundary conditions. Zbl 1058.34014
Cabada, Alberto; Heikkilä, Seppo
5
2004
Fixed point theorems for multifunctions with applications to discontinuous operator and differential equations. Zbl 1063.47052
Carl, S.; Heikkilä, S.
5
2004
Inclusion problems in ordered topological vector spaces and applications. Zbl 1070.47051
Heikkilä, Seppo
5
2004
On discontinuous functional Volterra integral equations and impulsive differential equations in abstract spaces. Zbl 1074.45008
Heikkilä, S.; O’Regan, D.
3
2004
Existence results for operator equations in partially ordered sets and applications. Zbl 1078.47028
Heikkilä, S.
1
2004
Extremality and comparison results for discontinuous implicit third order functional initial-boundary value problems. Zbl 1034.34081
Cabada, A.; Heikkilä, S.
7
2003
Fixed point theorems for multivalued operators and application to discontinuous quasilinear BVP’s. Zbl 1071.35052
Carl, S.; Heikkilä, S.
5
2003
Operator equations in ordered function spaces. Zbl 1065.47066
Heikkilä, S.
4
2003
Trapping regions for discontinuously coupled systems of evolution variational inequalities and application. Zbl 1026.35058
Carl, S.; Heikkilä, S.; Jerome, J. W.
3
2003
Existence results for implicit functional evolution equations and parabolic IBVP’s. Zbl 1053.34057
Carl, S.; Heikkilä, S.
2
2003
On the solvability of first-order discontinuous scalar initial and boundary value problems. Zbl 1041.34004
Agarwal, R. P.; Heikkilä, S.
1
2003
Extremality results for discontinuous explicit and implicit diffusion problems. Zbl 1016.76075
Cabada, A.; Heikkilä, S.
7
2002
Existence results for implicit functional parabolic problems. Zbl 1029.35123
Carl, S.; Heikkilä, S.
5
2002
Existence and comparison results for operator and differential equations in abstract spaces. Zbl 1021.34054
Heikkilä, S.
4
2002
Existence results for equations in ordered Hilbert spaces and elliptic BVP’s. Zbl 1040.35025
Carl, S.; Heikkilä, S.
4
2002
Existence of solutions for discontinuous functional equations and elliptic boundary-value problems. Zbl 1001.35044
Carl, Siegfried; Heikkilä, Seppo
4
2002
Implicit nonlinear discontinuous functional boundary value \(\phi\)-Laplacian problems: Extremality results. Zbl 1041.34010
Cabada, Alberto; Heikkilä, Seppo
3
2002
New iterative methods to solve equations and systems in ordered spaces. Zbl 1023.47051
Heikkilä, S.
1
2002
Existence results for discontinuous implicit functional Sturm-Liouville boundary value problems. Zbl 1025.34025
Heikkilä, S.
1
2002
Uniqueness and well-posedness results for first order initial and boundary value problems. Zbl 1006.34002
Agarwal, R. P.; Heikkilä, S.
1
2002
Extremality and comparison results for discontinuous third order functional initial-boundary value problems. Zbl 0976.34009
Cabada, A.; Heikkilä, S.
9
2001
A method to solve discontinuous boundary value problems. Zbl 1042.35541
Heikkilä, Seppo
9
2001
Uniqueness, comparison, and existence results for third-order initial boundary value problems. Zbl 0991.34015
Cabada, A.; Heikkilä, S.
8
2001
Operator equations in orderd sets and discontinuous implicit parabolic equations. Zbl 0974.35062
Carl, S.; Heikkilä, S.
4
2001
Maximum principles and uniqueness results of phi-Laplacian boundary value problems. Zbl 1002.34008
Heikkilä, S.; Seikkala, S.
3
2001
New algorithms to solve equations and systems in ordered spaces. Zbl 1003.65059
Heikkilä, S.
2
2001
On functional differential equations in ordered Banach spaces. Zbl 1001.34069
Heikkilä, S.
1
2001
Nonlinear differential equations in ordered spaces. Zbl 0948.34001
Carl, S.; Heikkilä, S.
73
2000
Uniqueness and existence results for implicit impulsive differential equations. Zbl 0969.34012
Heikkilä, S.; Kumpulainen, M.; Seikkala, S.
6
2000
On discontinuous implicit and explicit abstract impulsive boundary value problems. Zbl 0985.34050
Carl, S.; Heikkila, S.
6
2000
Discontinuous reaction-diffusion equations under discontinuous and nonlocal flux conditions. Zbl 0973.35122
Carl, S.; Heikkilä, S.
5
2000
Extremality results for first-order discontinuous functional differential equations. Zbl 0960.34053
Carl, S.; Heikkilä, S.
1
2000
On well-ordered sets in ordered function spaces. Zbl 0970.46021
Heikkilä, S.
1
2000
Operator and differential equations in ordered spaces. Zbl 0936.47042
Carl, S.; Heikkilä, S.
9
1999
On chain methods used in fixed point theory. Zbl 0954.47044
Heikkilä, S.
3
1999
On first order discontinuous implicit boundary value problems. Zbl 0954.34051
Carl, S.; Heikkilä, S.; Koponen, P.
3
1999
On discontinuous implicit differential equations in ordered Banach spaces with discontinuous implicit boundary conditions. Zbl 0981.34051
Carl, S.; Heikkilä, S.
1
1999
Elliptic equations with discontinuous nonlinearities in \(\mathbb{R}^N\). Zbl 0908.35038
Carl, S.; Heikkilä, S.
9
1998
On discontinuous first-order implicit boundary value problems. Zbl 0921.34019
Carl, S.; Heikkilä, S.
8
1998
Uniqueness and comparison results for implicit differential equations. Zbl 0910.34002
Heikkilä, S.; Kumpulainen, M.; Seikkala, S.
6
1998
On discontinuous implicit evolution equations. Zbl 0909.34050
Carl, S.; Heikkilä, S.
3
1998
On second order discontinuous implicit boundary value problems with discontinuous implicit boundary conditions. Zbl 0932.34008
Carl, S.; Heikkilä, S.
2
1998
Discontinuous implicit elliptic boundary value problems. Zbl 1064.35509
Carl, S.; Heikkilä, S.
1
1998
Rapid convergence of approximate solutions for first order nonlinear boundary value problems. Zbl 0904.34018
Cabada, Alberto; Nieto, Juan J.; Heikkilä, Seppo
1
1998
A free boundary problem for quasilinear elliptic equations in exterior domains. Zbl 1005.35091
Carl, S.; Heikkilä, S.
1
1998
Rapid convergence of approximate solutions for second order nonlinear boundary value problems. Zbl 0976.34016
Cabada, Alberto; Nieto, Juan J.; Heikkilä, Seppo
1
1998
First order discontinuous implicit differential equations with discontinuous boundary conditions. Zbl 0892.34011
Heikkilä, S.
6
1997
Uniqueness, comparison and existence results for discontinuous implicit differential equations. Zbl 0893.34001
Seikkala, S.; Heikkilä, S.
4
1997
Existence results for first order discontinuous differential equations of general form. Zbl 0979.34500
Heikkilä, S.
3
1997
First-order discontinuous differential equations with functional boundary conditions. Zbl 0920.34024
Heikkilä, Seppo
1
1997
Applications of a recursion method to game theory. Zbl 0881.90135
Heikkilä, S.; Salonen, H.
1
1997
On a second order discontinuous implicit boundary value problem. Zbl 0888.34016
Carl, S.; Heikkilä, S.
1
1997
On first order discontinuous differential equations with nonlinear boundary conditions. Zbl 0895.34006
Heikkilä, Seppo; Cabada, Alberto
14
1996
A unified theory for first-order discontinuous scalar differential equations. Zbl 0837.34012
Heikkilä, S.; Lakshmikantham, V.
14
1996
Existence, uniqueness, and comparison results for a differential equation with discontinuous nonlinearities. Zbl 0858.34003
Heikkilä, Seppo; Kumpulainen, Martti; Seikkala, Seppo
3
1996
Monotone methods with applications to nonlinear analysis. Zbl 0846.34009
Heikkilä, Seppo
2
1996
Notes on first order discontinuous differential equations with nonlinear boundary conditions. Zbl 0866.34015
Heikkilä, Seppo
1
1996
On second order discontinuous scalar boundary value problems. Zbl 0867.34011
Heikkilä, S.
1
1996
Applications of a recursion method to maximization problems in partially ordered spaces. Zbl 0865.90136
Heikkilä, S.
1
1996
On solvability of first order discontinuous scalar differential equations. Zbl 0829.34005
Carl, S.; Heikkilä, S.; Kumpulainen, M.
9
1995
Nonlinear elliptic differential inclusions governed by state-dependent subdifferentials. Zbl 0931.35203
Carl, S.; Heikkilä, S.; Lakshmikantham, V.
9
1995
On recursions, iterations and well-orderings. Zbl 0831.04004
Heikkilä, S.
2
1995
On mild solutions of first order discontinuous semilinear differential equations in Banach spaces. Zbl 0832.34054
Heikkilä, S.; Lakshmikantham, V.
1
1995
...and 36 more Documents
all top 5

Cited by 426 Authors

72 Heikkilä, Seppo V.
45 Carl, Siegfried
31 Cabada, Alberto
15 Dhage, Bapurao C.
14 Cid, José Ángel
14 Papageorgiou, Nikolaos S.
14 Pouso, Rodrigo L.
13 Lakshmikantham, Vangipuram
13 Le, Vy Khoi
12 Nieto Roig, Juan Jose
11 López Pouso, Rodrigo
10 Agarwal, Ravi P.
10 Motreanu, Dumitru
9 Benchohra, Mouffak
9 Figueroa, Rubén
8 Seikkala, Seppo
7 Alves, Claudianor Oliveira
7 Kelevedjiev, Petio S.
7 Marano, Salvatore Angelo
7 Reffett, Kevin L.
6 Jankowski, Tadeusz
6 Kumpulainen, Martti
6 O’Regan, Donal
6 Satco, Bianca-Renata
5 Dhage, Shyam B.
5 Huang, Nan-Jing
5 Németh, Sándor Zoltán
5 Nguyen Bich Huy
5 Otero-Espinar, Victoria
5 Rodríguez-López, Rosana
5 Slavík, Antonín
4 Ahmad, Bashir
4 Eberl, Hermann J.
4 Fečkan, Michal
4 Graef, John R.
4 Jerome, Joseph W.
4 Khamsi, Mohamed Amine
4 Minhós, Feliz Manuel
4 Ntouyas, Sotiris K.
4 Potapov, Dmitriĭ Konstantinovich
4 Precup, Radu
4 Rodríguez-López, Jorge
4 Staicu, Vasile
4 Vivero, Dolores R.
3 Abada, Nadjet
3 Akpan, Edet P.
3 Alfuraidan, Monther Rashed
3 Aouaoui, Sami
3 Battelli, Flaviano
3 Cheng, Yi
3 do Rosário Grossinho, Maria
3 Du, Zengji
3 Fiacca, Antonella
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 Ouahab, Abdelghani
3 Pavlenko, Vyacheslav Nikolaevich
3 Su, Menglong
3 Woźny, Łukasz
3 Xiao, Yibin
2 Aizicovici, Sergiu
2 Alghanmi, Madeaha
2 Ardjouni, Abdelouaheb
2 Arutyunov, Aram Vladimirovic
2 Aslanov, Afgan
2 Balbus, Łukasz
2 Beaver, P.
2 Ben Amar, Afif
2 Bertone, Ana Maria
2 Biles, Daniel C.
2 Blouhi, Tayeb
2 Canright, David
2 Cardinali, Tiziana
2 Chen, Ren-Chuen
2 Cichoń, Mieczysław
2 Cubiotti, Paolo
2 Cui, Yi-shun
2 Cui, Yujun
2 Datta, Manjira
2 Djoudi, Ahcene
2 Dziewulski, Paweł
2 Fang, Yaping
2 Ferhat, Mohamed
2 Gaebler, Harry J.
2 Gasiński, Leszek
2 Golev, Angel A.
2 Abreu Goncalves, Jose Valdo
2 Hamani, Samira
2 Hong, Shihuang
2 Kandilakis, Dimitrios A.
2 Khristova, Snezhana G.
2 Kim, Jong Kyu
2 Li, Desheng
2 Li, Jinlu
...and 326 more Authors
all top 5

Cited in 116 Serials

78 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
60 Journal of Mathematical Analysis and Applications
27 Nonlinear Analysis. Theory, Methods & Applications
21 Applied Mathematics and Computation
16 Computers & Mathematics with Applications
15 Fixed Point Theory and Applications
14 Journal of Differential Equations
11 Applicable Analysis
11 Journal of Fixed Point Theory and Applications
10 Boundary Value Problems
9 Proceedings of the American Mathematical Society
9 Abstract and Applied Analysis
8 Journal of Computational and Applied Mathematics
7 Applied Mathematics Letters
7 Advances in Difference Equations
6 Journal of Inequalities and Applications
6 Nonlinear Analysis. Real World Applications
5 Monatshefte für Mathematik
5 Economic Theory
5 Acta Mathematica Sinica. English Series
5 Differential Equations
4 Bulletin of the Australian Mathematical Society
4 ZAMP. Zeitschrift für angewandte Mathematik und Physik
4 Czechoslovak Mathematical Journal
4 Journal of Optimization Theory and Applications
4 Mathematische Nachrichten
4 Numerical Functional Analysis and Optimization
4 Proceedings of the Indian Academy of Sciences. Mathematical Sciences
4 The ANZIAM Journal
4 Nonlinear Analysis. Hybrid Systems
3 Rocky Mountain Journal of Mathematics
3 Zeitschrift für Analysis und ihre Anwendungen
3 Journal of Global Optimization
3 Mediterranean Journal of Mathematics
2 Ukrainian Mathematical Journal
2 Archiv der Mathematik
2 Journal of Economic Theory
2 Journal of Mathematical Economics
2 Proceedings of the Edinburgh Mathematical Society. Series II
2 Order
2 Mathematical and Computer Modelling
2 Applications of Mathematics
2 Set-Valued Analysis
2 Mathematical Problems in Engineering
2 Doklady Mathematics
2 Differential Equations and Dynamical Systems
2 Positivity
2 Central European Journal of Mathematics
2 Journal of Function Spaces and Applications
2 Differential Equations and Applications
2 Afrika Matematika
2 Mathematics
2 Journal of Function Spaces
2 Cogent Mathematics
1 Computer Physics Communications
1 Journal of the Franklin Institute
1 Mathematical Notes
1 Bulletin of Mathematical Biology
1 Annali di Matematica Pura ed Applicata. Serie Quarta
1 BIT
1 Fuzzy Sets and Systems
1 Glasgow Mathematical Journal
1 International Journal of Mathematics and Mathematical Sciences
1 Kodai Mathematical Journal
1 Mathematics and Computers in Simulation
1 Numerische Mathematik
1 Osaka Journal of Mathematics
1 Real Analysis Exchange
1 Rendiconti del Seminario Matematico della Università di Padova
1 Ricerche di Matematica
1 Theoretical Computer Science
1 Transactions of the American Mathematical Society
1 Statistics & Probability Letters
1 Applied Mathematics and Mechanics. (English Edition)
1 Stochastic Analysis and Applications
1 Revista Matemática Iberoamericana
1 Journal of Applied Mathematics and Stochastic Analysis
1 European Journal of Applied Mathematics
1 Aequationes Mathematicae
1 Applied Mathematical Modelling
1 International Journal of Computer Mathematics
1 Linear Algebra and its Applications
1 Bulletin of the Polish Academy of Sciences, Mathematics
1 Analele Ştiinţifice ale Universităţii Al. I. Cuza din Iaşi. Serie Nouă. Matematică
1 Formal Methods in System Design
1 Topological Methods in Nonlinear Analysis
1 Applied Mathematics. Series B (English Edition)
1 Computational and Applied Mathematics
1 Random Operators and Stochastic Equations
1 Journal of Difference Equations and Applications
1 Sbornik: Mathematics
1 Izvestiya: Mathematics
1 Discrete and Continuous Dynamical Systems
1 Vietnam Journal of Mathematics
1 Wuhan University Journal of Natural Sciences (WUJNS)
1 International Game Theory Review
1 Nonlinear Analysis. Modelling and Control
1 Mathematical Modelling and Analysis
1 Portugaliae Mathematica. Nova Série
1 Bulletin of the Malaysian Mathematical Sciences Society. Second Series
...and 16 more Serials
all top 5

Cited in 39 Fields

235 Ordinary differential equations (34-XX)
155 Operator theory (47-XX)
134 Partial differential equations (35-XX)
46 Calculus of variations and optimal control; optimization (49-XX)
28 General topology (54-XX)
28 Numerical analysis (65-XX)
26 Real functions (26-XX)
26 Integral equations (45-XX)
19 Functional analysis (46-XX)
18 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
13 Difference and functional equations (39-XX)
10 Probability theory and stochastic processes (60-XX)
9 Measure and integration (28-XX)
9 Operations research, mathematical programming (90-XX)
8 Order, lattices, ordered algebraic structures (06-XX)
7 Dynamical systems and ergodic theory (37-XX)
7 Global analysis, analysis on manifolds (58-XX)
6 Biology and other natural sciences (92-XX)
5 Linear and multilinear algebra; matrix theory (15-XX)
4 Statistical mechanics, structure of matter (82-XX)
3 Fluid mechanics (76-XX)
3 Systems theory; control (93-XX)
2 Mathematical logic and foundations (03-XX)
2 Sequences, series, summability (40-XX)
2 Harmonic analysis on Euclidean spaces (42-XX)
2 Convex and discrete geometry (52-XX)
2 Differential geometry (53-XX)
2 Information and communication theory, circuits (94-XX)
1 General and overarching topics; collections (00-XX)
1 History and biography (01-XX)
1 Combinatorics (05-XX)
1 Nonassociative rings and algebras (17-XX)
1 Potential theory (31-XX)
1 Approximations and expansions (41-XX)
1 Abstract harmonic analysis (43-XX)
1 Statistics (62-XX)
1 Computer science (68-XX)
1 Mechanics of deformable solids (74-XX)
1 Relativity and gravitational theory (83-XX)

Citations by Year