Pub Date : 2020-09-28DOI: 10.31392/mfat-npu26_3.2020.07
A. Baisnab, K. Roy, M. Saha
{"title":"Cantor's intersection theorem and some generalized fixed point theorems over a locally convex topological vector space","authors":"A. Baisnab, K. Roy, M. Saha","doi":"10.31392/mfat-npu26_3.2020.07","DOIUrl":"https://doi.org/10.31392/mfat-npu26_3.2020.07","url":null,"abstract":"","PeriodicalId":44325,"journal":{"name":"Methods of Functional Analysis and Topology","volume":"26 1","pages":"262-271"},"PeriodicalIF":0.4,"publicationDate":"2020-09-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"48557919","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2020-09-28DOI: 10.31392/mfat-npu26_3.2020.01
M. Aitalioubrahim
We prove, in separable Banach spaces, the existence of viable solutions for the following higher-order functional di erential inclusion x(t) in F (t, T (t)x, x(t), ..., x(k 1)(t)), a.e. on [0, tau ]. We consider the case when the right-hand side is nonconvex and the constraint is moving. ®¢®¤ ̈âìáï ÷áã¢ ï ¢ ᥠ̄ à ¡¥«ì ̈å ¡ 客 ̈å ̄à®áâ®à å ஧¢'ï§a÷¢ ¢á쮬ã ÷â¥à¢ «÷ ¤«ï äãaæ÷® «ì®-¤ ̈ä¥à¥æ÷ «ì ̈å ¢a«îç¥ì x(t) in F (t, T (t)x, x(t), ..., x(k 1)(t)), a.e. on [0, tau ]. ®§£«ï¤ õâìáï ¢ ̈ ̄ ¤®a ¥® ̄ãa«®ù ̄à ¢®ù ç áâ ̈ ̈ â àã宬®£® ®¡¬¥¦¥ï.
在可分离的Banach空间中，证明了F (t, t (t)x, x(t)，…中的高阶泛函微分包含x(t) 的可行解的存在性。， x(k 1)(t))， a.e. on [0， tau]。我们考虑了当右侧为非凸且约束是移动的情况。®¢®¤̈aiai÷很¢——我¢¥̄¡¥«我——̈¡——®¢̈一̄®aa®一百一十一®§¢我§÷¢——¢ai®¬一¢«÷÷——¥¤«我aa-aæ÷®-«我®¤̈¥¥——æ÷«我——̈¢«ic¥- x (t) F (t, t (t) x, x (t)……， x(k 1)(t))， a.e. on [0， tau]。®§£«我¤oaiai¢̈̄¤®,¥®̄aa«®ū¢®u c aä——̈aaa ®¬®£® ®¡¬¥¦¥ 我。
{"title":"Viability result for higher-order functional \u0000differential inclusions","authors":"M. Aitalioubrahim","doi":"10.31392/mfat-npu26_3.2020.01","DOIUrl":"https://doi.org/10.31392/mfat-npu26_3.2020.01","url":null,"abstract":"We prove, in separable Banach spaces, the existence of viable solutions for the following higher-order functional di erential inclusion x(t) in F (t, T (t)x, x(t), ..., x(k 1)(t)), a.e. on [0, tau ]. We consider the case when the right-hand side is nonconvex and the constraint is moving. ®¢®¤ ̈âìáï ÷áã¢ ï ¢ ᥠ̄ à ¡¥«ì ̈å ¡ 客 ̈å ̄à®áâ®à å ஧¢'ï§a÷¢ ¢á쮬ã ÷â¥à¢ «÷ ¤«ï äãaæ÷® «ì®-¤ ̈ä¥à¥æ÷ «ì ̈å ¢a«îç¥ì x(t) in F (t, T (t)x, x(t), ..., x(k 1)(t)), a.e. on [0, tau ]. ®§£«ï¤ õâìáï ¢ ̈ ̄ ¤®a ¥® ̄ãa«®ù ̄à ¢®ù ç áâ ̈ ̈ â àã宬®£® ®¡¬¥¦¥ï.","PeriodicalId":44325,"journal":{"name":"Methods of Functional Analysis and Topology","volume":"26 1","pages":"189-200"},"PeriodicalIF":0.4,"publicationDate":"2020-09-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"41690278","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2020-09-28DOI: 10.31392/mfat-npu26_3.2020.02
Fadi Alrimawi, M. Al-khlyleh, F. A. Abushaheen
Let T = [Tij ] in BbbM mn(BbbC ) be accretive-dissipative, where Tij in BbbM n(BbbC ) for i, j = 1, 2, ...,m. Let f be a function that is convex and increasing on [0,infty ) where f(0) = 0. Then bigm| bigm| bigm| bigm| bigm| bigm| bigm| bigm| bigm| bigm| bigm| bigm| bigm| bigm| bigm| f left( sum i
设T=[Tij]inBbbMmn（BbbC）是增生耗散的，其中对于i，j=1，2。。。，m。设f是在[0，infty）上凸且递增的函数，其中f（0）=0。然后bigm|bigm|| bigm| bigm |bigm || bigm | bigm|1bigm|3bigm（sum i
Pub Date : 2020-08-07DOI: 10.31392/mfat-npu26_3.2021.04
J. L. D. Silva, Y. Kondratiev
In this paper we study Green measures for certain classes of random time change Markov processes where the random time change are inverse subordinators. We show the existence of the Green measure for these processes under the condition of the existence of the Green measure of the original Markov processes and they coincide. Applications to fractional dynamics in given.
{"title":"Green Measures for Time Changed Markov Processes","authors":"J. L. D. Silva, Y. Kondratiev","doi":"10.31392/mfat-npu26_3.2021.04","DOIUrl":"https://doi.org/10.31392/mfat-npu26_3.2021.04","url":null,"abstract":"In this paper we study Green measures for certain classes of random time change Markov processes where the random time change are inverse subordinators. We show the existence of the Green measure for these processes under the condition of the existence of the Green measure of the original Markov processes and they coincide. Applications to fractional dynamics in given.","PeriodicalId":44325,"journal":{"name":"Methods of Functional Analysis and Topology","volume":" ","pages":""},"PeriodicalIF":0.4,"publicationDate":"2020-08-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"47316037","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2020-06-28DOI: 10.31392/mfat-npu26_2.2020.09
R. Osaulenko
We study an analogue of the logarithmic (u, v)-derivative. The last one has many interesting properties and good ways to calculate it. To show how it can be used we apply it to a model class of nowhere monotone functions that are composition of Salem function and nowhere differentiable functions.
{"title":"An analogue of the logarithmic $(u,v)$-derivative and its application","authors":"R. Osaulenko","doi":"10.31392/mfat-npu26_2.2020.09","DOIUrl":"https://doi.org/10.31392/mfat-npu26_2.2020.09","url":null,"abstract":"We study an analogue of the logarithmic (u, v)-derivative. The last one has many interesting properties and good ways to calculate it. To show how it can be used we apply it to a model class of nowhere monotone functions that are composition of Salem function and nowhere differentiable functions.","PeriodicalId":44325,"journal":{"name":"Methods of Functional Analysis and Topology","volume":"26 1","pages":"179-188"},"PeriodicalIF":0.4,"publicationDate":"2020-06-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"44027986","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2020-06-28DOI: 10.31392/mfat-npu26_2.2020.06
Z. Garbouj, H. Skhiri
In this paper, we introduce a generalization of quasi-Fredholm operators [7] to k-quasi-Fredholm operators on Hilbert spaces for nonnegative integer k. The case when k = 0, represents the set of quasi-Fredholm operators and the meeting of the classes of k-quasi-Fredholm operators is called the class of pseudoquasi-Fredholm operators. We present some fundamental properties of the operators belonging to these classes and, as applications, we prove some spectral theorem and finite-dimensional perturbations results for these classes. Also, the notion of new index of a pseudo-quasi-Fredholm operator called pq-index is introduced and the stability of this index by finite-dimensional perturbations is proved. This paper extends some results proved in [5] to closed unbounded operators.
{"title":"On a new class of operators related to quasi-Fredholm operators","authors":"Z. Garbouj, H. Skhiri","doi":"10.31392/mfat-npu26_2.2020.06","DOIUrl":"https://doi.org/10.31392/mfat-npu26_2.2020.06","url":null,"abstract":"In this paper, we introduce a generalization of quasi-Fredholm operators [7] to k-quasi-Fredholm operators on Hilbert spaces for nonnegative integer k. The case when k = 0, represents the set of quasi-Fredholm operators and the meeting of the classes of k-quasi-Fredholm operators is called the class of pseudoquasi-Fredholm operators. We present some fundamental properties of the operators belonging to these classes and, as applications, we prove some spectral theorem and finite-dimensional perturbations results for these classes. Also, the notion of new index of a pseudo-quasi-Fredholm operator called pq-index is introduced and the stability of this index by finite-dimensional perturbations is proved. This paper extends some results proved in [5] to closed unbounded operators.","PeriodicalId":44325,"journal":{"name":"Methods of Functional Analysis and Topology","volume":"26 1","pages":"141-166"},"PeriodicalIF":0.4,"publicationDate":"2020-06-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"47404836","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
京公网安备 11010802042870号
京ICP备2023020795号-1
扫码关注我们
求助内容：
应助结果提醒方式：