## Found 545 Documents (Results 1–100)

100
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### On descriptive characterizations of an integral recovering a function from its $$L^r$$-derivative. (English. Russian original)Zbl 07518128

Math. Notes 111, No. 3, 414-422 (2022); translation from Mat. Zametki 111, No. 3, 411-421 (2022).
MSC:  26Axx 42Cxx 28Cxx
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### Compact operators and integral equations in the $$\mathcal{HK}$$ space. (English)Zbl 07511564

MSC:  26A39 26A42
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### The $$HK_r$$-integral is not contained in the $$P_r$$-integral. (English)Zbl 07487900

MSC:  26A39 28B15 43A32
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### Variational measure with respect to measurable gauges. (English)Zbl 07438294

MSC:  26A39 26A45
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MSC:  34K05
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### Banach-Steinhaus theorem for the space $$\mathcal{P}$$ of all primitives of Henstock-Kurzweil integrable functions. (English)Zbl 07402046

MSC:  46B99 26A39 46A22
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### On the solvability of the modified Cauchy problem for linear systems of generalized ordinary differential equations with singularities. (English)Zbl 1477.34002

MSC:  34A06 34A30 34A12
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### Influence of the choice of the class of gauge functions on the properties of the Henstock-Kurzweil integral. (English. Russian original)Zbl 1476.26006

Mosc. Univ. Math. Bull. 76, No. 2, 65-68 (2021); translation from Vestn. Mosk. Univ., Ser. I 76, No. 2, 32-35 (2021).
MSC:  26A39
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### Solving Poisson equation by distributional HK-integral: prospects and limitations. (English)Zbl 07392331

MSC:  35J05 26B15
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### A version of Hake’s theorem for Kurzweil-Henstock integral in terms of variational measure. (English)Zbl 1472.26002

MSC:  26A39 28C15
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### Reconstruction of a generalized Fourier series from its sum on a compact zero-dimensional group in the non-abelian case. (English. Russian original)Zbl 1478.43006

Math. Notes 109, No. 4, 630-637 (2021); translation from Mat. Zametki 109, No. 4, 616-624 (2021).
MSC:  43A65
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### On the characterization of compactness in the space of Henstock-Kurzweil integrable functions. (English)Zbl 1474.26032

MSC:  26A39 46F10 46G12
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### Volterra-Stieltjes integral equations and impulsive Volterra-Stieltjes integral equations. (English)Zbl 07363615

MSC:  45D05 26A42
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### Converse Lyapunov theorems for measure functional differential equations. (English)Zbl 07336941

MSC:  34K05 34K20 26A39
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### An extension of integrals. (English)Zbl 1476.26005

Shahid, Mohammad Hasan (ed.) et al., Differential geometry, algebra, and analysis. Selected papers based on the presentations at the international conference, ICDGAA 2016, New Delhi, India, November 15–17, 2016. Singapore: Springer. Springer Proc. Math. Stat. 327, 207-216 (2020).
MSC:  26A39
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### Hake’s theorem for functions of several variables. (Spanish. English summary)Zbl 1471.26004

MSC:  26B15 26A39 26A42
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MSC:  34A08
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### The $$N$$-integral. (English)Zbl 1451.26012

MSC:  26A39 26A42
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### Henstock-Kurzweil vector distributions. (English)Zbl 1454.58005

MSC:  58A30 26A39 46B04
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### Uniqueness of bounded variation solutions for retarded functional differential equations. (Chinese. English summary)Zbl 1463.34260

MSC:  34K05 26A39
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### Dunford-Henstock-Kurzweil and Dunford-McShane integrals of vector-valued functions defined on $$m$$-dimensional bounded sets. (English)Zbl 1448.28013

MSC:  28B05 46B25 46G10
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### The continuous primitive integral in the plane. (English)Zbl 1451.26013

MSC:  26A39 26B15 46F10
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### A Henstock-Kurzweil type integral on one-dimensional integral currents. (English. French summary)Zbl 1445.49023

MSC:  49Q15 28A25 28A75
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### Boundary value problems for the Schrödinger equation involving the Henstock-Kurzweil integral. (English)Zbl 07217149

MSC:  26A39 34B24 26A45
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### Weak solutions for fractional differential equations via Henstock-Kurzweil-Pettis integrals. (English)Zbl 07201328

MSC:  26-XX 34-XX
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### Ulam-type stability for differential equations driven by measures. (English)Zbl 1450.34009

MSC:  34A06 26A39 34D10
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MSC:  26A39
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### On the relationships between Stieltjes type integrals of Young, Dushnik and Kurzweil. (English)Zbl 07217260

MSC:  26A39 26A36 26A42
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### The Radon Nikodym property and multipliers of $$\mathcal{HK}$$-integrable functions. (English)Zbl 1451.28010

MSC:  28B05 26A39
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### Measure functional differential equations with infinite delay: differentiability of solutions with respect to parameters. (Chinese. English summary)Zbl 1449.34214

MSC:  34K05 34K42 34A06
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### Existence and uniqueness of solutions for a class of integro-differential equation. (Chinese. English summary)Zbl 1449.45014

MSC:  45J05 26A39
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### A Riemann-type theorem for a Riemann-type integral. (English)Zbl 1429.26011

MSC:  26A39 40A10
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### On a step method and a propagation of discontinuity. (English)Zbl 1438.34219

MSC:  34K05 26A42 65L03
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### On second order Neumann boundary problems involving the distributional Henstock-Kurzweil integral. (Chinese. English summary)Zbl 1438.34010

MSC:  34A06 34B15 26A39
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MSC:  34A06
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### Growth of solutions for measure differential equations and dynamic equations on time scales. (English)Zbl 1428.34137

MSC:  34N05 34C11
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### A proof of Girsanov’s theorem: the Henstock-Kurzweil approach. (English)Zbl 1416.26025

MSC:  26B10 26B15 26B20
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MSC:  26A39
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### Prolongation of solutions of measure differential equations and dynamic equations on time scales. (English)Zbl 1414.34073

MSC:  34N05 28E05 34A12
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MSC:  49J52
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### On the Darboux problem involving the distributional Henstock-Kurzweil integral. (English)Zbl 07509633

MSC:  47H08 26A39
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### Multiple existence of solutions for a coupled system involving the distributional Henstock-Kurzweil integral. (English)Zbl 1463.34004

MSC:  34A06 47H11 26A39

### On the solvability and the well-posedness of the modified Cauchy problem for linear systems of generalized ordinary differential equations with singularities. (English)Zbl 1430.34013

MSC:  34A12 34A30 26A39
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### An integration by parts theorem for Kurzweil integrable vector-valued functions via Bochner integration. (English)Zbl 1424.28020

MSC:  28B05 26A42

### Weak solutions for fractional integrodifferential equations with multi-point boundary conditions in nonreflexive Banach spaces. (English)Zbl 1417.45005

MSC:  45J05 45N05
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### Fundamental theorem of calculus under weaker forms of primitive. (English)Zbl 1409.26017

MSC:  26E20 46G10 46G12
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### Practical stability of nonlinear measure differential equations. (English)Zbl 07032454

MSC:  34D20 93D20
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### An alternative definition of the Henstock-Kurzweil integral using primitives. (English)Zbl 1405.26008

MSC:  26A39 26A42
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### Derivatives not first return integrable on a fractal set. (English)Zbl 1402.26006

MSC:  26A39 26A42 28A80
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### Boundedness of solutions of measure functional differential equations with infinite delay. (Chinese. English summary)Zbl 1413.34219

MSC:  34K12 26A39
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### The Kurzweil-Henstock integral for undergraduates. A promenade along the marvelous theory of integration. (English)Zbl 1410.26007

Compact Textbooks in Mathematics. Cham: Birkhäuser (ISBN 978-3-319-95320-5/pbk; 978-3-319-95321-2/ebook). xii, 222 p. (2018).
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### Banach spaces for the Schwartz distributions. (English)Zbl 1411.46022

MSC:  46E30 26A39
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### Bounded variation solutions for retarded impulsive differential equations. (Chinese. English summary)Zbl 1399.34238

MSC:  34K45 26A39
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### On the antiperiodic problem for systems of nonlinear generalized ordinary differential equations. (English)Zbl 1395.34048

MSC:  34C25 34C11 26A39
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### Closure properties for integral problems driven by regulated functions via convergence results. (English)Zbl 1392.26014

MSC:  26A39 28C20
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### The new extensions of the Henstock-Kurzweil and the McShane integrals of vector-valued functions. (English)Zbl 1387.28014

MSC:  28B05 46B25 46G10
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### Nonabsolute integration on measure spaces. (English)Zbl 1392.28001

Series in Real Analysis 14. Hackensack, NJ: World Scientific (ISBN 978-981-3221-96-3/hbk; 978-981-3221-98-7/ebook). xviii, 228 p. (2018).
MSC:  28-02 28A33 28A50
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### Existence theorems for nonlinear second-order three-point boundary value problems involving the distributional Henstock-Kurzweil integral. (English)Zbl 1412.34095

MSC:  34B15 26A39 46G12
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### Kurzweil-Henstock integral for IF-functions. (English)Zbl 1398.26019

MSC:  26E50 26A39
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MSC:  34K33
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### On the antiperiodic problem for systems of nonlinear generalized ordinary differential equations. (English)Zbl 1383.34036

MSC:  34B15 34C11
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### Some integrals between the Lebesgue integral and the Denjoy integral. (English)Zbl 1387.26020

MSC:  26A36 26A39

### Averaging for Carathéodory equations. (English)Zbl 1389.34048

MSC:  34A34 34C29 26A39

MSC:  35F20
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### Gauge integral. (English)Zbl 1381.26009

MSC:  26A39 26A42 03B35
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### Beyond dominated convergence: newer methods of integration. (English)Zbl 1383.26006

MSC:  26A39 28A20 26A42
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### Measure functional differential equations with infinite delay: differentiability of solutions with respect to initial conditions. (English)Zbl 1389.34191

MSC:  34K05 26A39
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### Continuity properties of Prandtl-Ishlinskii operators in the space of regulated functions. (English)Zbl 1375.34073

MSC:  34C55 47J40
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### On boundary value problems for systems of nonlinear generalized ordinary differential equations. (English)Zbl 06770119

MSC:  34A06 34B15
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### Factorization in the space of Henstock-Kurzweil integrable functions. (English)Zbl 1373.42008

MSC:  42A85 26A39 46J30

### Multidimensional $$\mathcal{P}$$-adic integrals in some problems of harmonic analysis. (English)Zbl 1362.26009

MSC:  26A39 42C10
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### NL-derivatives and NL-primitives in calculus. (Russian. English summary)Zbl 1372.26004

MSC:  26A24 26A39
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MSC:  26A39
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MSC:  34A12
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### The distributional Henstock-Kurzweil integral and applications: a survey. (English)Zbl 1374.26021

MSC:  26A39 26A42
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### An extension of some properties for the Fourier transform operator on $$L^p(\mathbb{R})$$ spaces. (English)Zbl 1357.43001

MSC:  43A32 26A39 26A42
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